Colloquium : Multiconfigurational time-dependent Hartree approaches for indistinguishable particles
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Ofir E. Alon | Axel U. J. Lode | Alexej I. Streltsov | L. Madsen | O. Alon | Camille L'eveque | Lars B. Madsen | A. Lode | A. Streltsov | C. L'eveque
[1] Michael Zwolak,et al. Mixed-state dynamics in one-dimensional quantum lattice systems: a time-dependent superoperator renormalization algorithm. , 2004, Physical review letters.
[2] Tsuyoshi Kato,et al. Time-dependent multiconfiguration theory for electronic dynamics of molecules in an intense laser field , 2004 .
[3] Daniel Kressner,et al. A literature survey of low‐rank tensor approximation techniques , 2013, 1302.7121.
[4] K. Yamanouchi,et al. Decomposition of the configuration-interaction coefficients in the multiconfiguration time-dependent Hartree-Fock method. , 2016, The Journal of chemical physics.
[5] Ofir E. Alon,et al. Analysis of a Trapped Bose-Einstein Condensate in Terms of Position, Momentum, and Angular-Momentum Variance , 2019, Symmetry.
[6] N. Moiseyev,et al. Quantum theory of resonances: calculating energies, widths and cross-sections by complex scaling , 1998 .
[7] Othmar Koch,et al. Correlated multielectron systems in strong laser fields: A multiconfiguration time-dependent Hartree-Fock approach , 2005 .
[8] Edwards,et al. Numerical solution of the nonlinear Schrödinger equation for small samples of trapped neutral atoms. , 1995, Physical review. A, Atomic, molecular, and optical physics.
[9] L. Madsen,et al. Multispecies time-dependent restricted-active-space self-consistent-field theory for ultracold atomic and molecular gases , 2018, Journal of Physics B: Atomic, Molecular and Optical Physics.
[10] P. Schuck,et al. Condensate fragmentation in a new exactly solvable model for confined bosons. , 2000, Physical review letters.
[11] L. Cederbaum,et al. Time-dependent multi-orbital mean-field for fragmented Bose-Einstein condensates , 2006, cond-mat/0607490.
[12] Lorenz S. Cederbaum,et al. Multiconfigurational time-dependent Hartree method for bosons: Many-body dynamics of bosonic systems , 2007, cond-mat/0703237.
[13] M. Kasevich,et al. Single-shot simulations of dynamic quantum many-body systems , 2015, Nature Physics.
[14] L. Nikolopoulos,et al. Extracting generalized multiphoton ionization cross-sections from nonperturbative time-dependent calculations: An application in positronium , 2000 .
[15] A. Scrinzi,et al. Photo-electron momentum spectra from minimal volumes: the time-dependent surface flux method , 2011, 1109.4053.
[16] Haobin Wang,et al. The Multilayer Multiconfiguration Time-Dependent Hartree Theory , 2011 .
[17] Haobin Wang,et al. On regularizing the MCTDH equations of motion. , 2018, The Journal of chemical physics.
[18] H. Meyer,et al. Multilayer multiconfiguration time-dependent Hartree method: implementation and applications to a Henon-Heiles hamiltonian and to pyrazine. , 2010, The Journal of chemical physics.
[19] F. Calogero. Solution of a three-body problem in one-dimension , 1969 .
[20] Michael Faraday,et al. XVII. On a peculiar class of acoustical figures; and on certain forms assumed by groups of particles upon vibrating elastic surfaces , 1831, Philosophical Transactions of the Royal Society of London.
[21] F. Jensen. Introduction to Computational Chemistry , 1998 .
[22] Uwe Manthe,et al. A multilayer multiconfigurational time-dependent Hartree approach for quantum dynamics on general potential energy surfaces. , 2008, The Journal of chemical physics.
[23] A. D. McLachlan,et al. A variational solution of the time-dependent Schrodinger equation , 1964 .
[24] U. Schollwoeck. The density-matrix renormalization group , 2004, cond-mat/0409292.
[25] Simen Kvaal,et al. Multiconfigurational time-dependent Hartree method to describe particle loss due to absorbing boundary conditions , 2011, 1102.3899.
[26] L. Cederbaum,et al. Role of excited states in the splitting of a trapped interacting Bose-Einstein condensate by a time-dependent barrier. , 2006, Physical review letters.
[27] D. Hochstuhl,et al. Two-photon ionization of helium studied with the multiconfigurational time-dependent Hartree-Fock method. , 2010, The Journal of chemical physics.
[28] Orel,et al. Continuum basis functions in the complex Kohn variational method. , 1991, Physical review. A, Atomic, molecular, and optical physics.
[29] Robert Seiringer,et al. Proof of Bose-Einstein condensation for dilute trapped gases. , 2002, Physical review letters.
[30] S. Patchkovskii,et al. Exchange and polarization effect in high-order harmonic imaging of molecular structures , 2010 .
[31] H. Meyer,et al. Towards a systematic convergence of Multi-Layer (ML) Multi-Configuration Time-Dependent Hartree nuclear wavefunctions: The ML-spawning algorithm , 2017 .
[32] P. Schmelcher,et al. The multi-layer multi-configuration time-dependent Hartree method for bosons: theory, implementation, and applications. , 2012, The Journal of chemical physics.
[33] Mathias Nest,et al. The multi-configuration electron–nuclear dynamics method , 2009 .
[34] R. Feifel,et al. Photoionization in the time and frequency domain , 2017, Science.
[35] P. Schmelcher,et al. Ultracold bosonic scattering dynamics off a repulsive barrier: Coherence loss at the dimensional crossover , 2017, 1705.04083.
[36] E. Lieb,et al. Exact Solution of a Many-Fermion System and Its Associated Boson Field , 1965 .
[37] K. Taylor,et al. Time delay between photoemission from the 2p and 2s subshells of Neon atoms , 2011, 1204.5872.
[38] C. William McCurdy,et al. Multiconfiguration time-dependent Hartree-Fock treatment of electronic and nuclear dynamics in diatomic molecules , 2011, 1101.4832.
[39] P. D. Drummond,et al. A ATOMIC , MOLECULAR , AND OPTICAL PHYSICS , 1999 .
[40] K. Ishikawa,et al. Propagating two-particle reduced density matrices without wave functions , 2014, 1411.0495.
[42] A. Orłowski,et al. Soluble model of many interacting quantum particles in a trap , 2000 .
[43] N. Mauser,et al. Many-body physics in two-component Bose–Einstein condensates in a cavity: fragmented superradiance and polarization , 2018, 1801.09448.
[44] Jun Yan. Harmonic Interaction Model and Its Applications in Bose–Einstein Condensation , 2003 .
[45] F. Coester,et al. Short-range correlations in nuclear wave functions , 1960 .
[46] V. Bagnato,et al. Realization of inverse Kibble–Zurek scenario with trapped Bose gases , 2015, 1503.09001.
[47] M. Girardeau,et al. Relationship between Systems of Impenetrable Bosons and Fermions in One Dimension , 1960 .
[48] L. Cederbaum,et al. Enhanced many-body effects in the excitation spectrum of a weakly interacting rotating Bose-Einstein condensate , 2018, Physical Review A.
[49] K. Ishikawa,et al. A fully general time-dependent multiconfiguration self-consistent-field method for the electron-nuclear dynamics. , 2017, Physical chemistry chemical physics : PCCP.
[50] Samuel Williams,et al. An efficient basis set representation for calculating electrons in molecules , 2015, 1507.03324.
[51] E. Lieb. Exact Analysis of an Interacting Bose Gas. II. The Excitation Spectrum , 1963 .
[52] A. Lode. Multiconfigurational time-dependent Hartree method for bosons with internal degrees of freedom:Theory and composite fragmentation of multicomponent Bose-Einstein condensates , 2016, 1602.05791.
[53] A. Lode,et al. Resonances and Dynamical Fragmentation in a Stirred Bose–Einstein Condensate , 2015 .
[54] L. Cederbaum,et al. Overlap of exact and Gross-Pitaevskii wave functions in Bose-Einstein condensates of dilute gases , 2016, 1609.05895.
[55] Christian Lubich,et al. Implementation of a novel projector-splitting integrator for the multi-configurational time-dependent Hartree approach. , 2017, The Journal of chemical physics.
[56] M. Beck,et al. The multiconfiguration time-dependent Hartree (MCTDH) method: A highly efficient algorithm for propa , 1999 .
[57] Tobias Donner,et al. Cavity QED with a Bose–Einstein condensate , 2007, Nature.
[58] A. Scrinzi,et al. Strong field ionization of linear molecules: a correlated three-dimensional calculation , 2006 .
[59] K. Ishikawa,et al. Application of the time-dependent surface flux method to the time-dependent multiconfiguration self-consistent-field method , 2019, Physical Review A.
[60] P. Schmelcher,et al. A unified ab initio approach to the correlated quantum dynamics of ultracold fermionic and bosonic mixtures. , 2017, The Journal of chemical physics.
[61] A. Lode,et al. Correlations of strongly interacting one-dimensional ultracold dipolar few-boson systems in optical lattices , 2018, New Journal of Physics.
[62] K. Yamanouchi,et al. Molecular wave function and effective adiabatic potentials calculated by extended multi-configuration time-dependent Hartree-Fock method , 2015 .
[63] L. Cederbaum,et al. Swift loss of coherence of soliton trains in attractive Bose-Einstein condensates. , 2010, Physical review letters.
[64] K. Ishikawa,et al. High-harmonic spectra from time-dependent two-particle reduced-density-matrix theory , 2016, 1611.00888.
[65] J. Dalibard,et al. Relative phase of two Bose-Einstein condensates , 1997 .
[66] L. Madsen,et al. Time-dependent restricted-active-space self-consistent-field theory with space partition , 2017 .
[67] Antonio Falcó,et al. On the Dirac–Frenkel Variational Principle on Tensor Banach Spaces , 2016, Found. Comput. Math..
[68] C. W. McCurdy,et al. Two methods for restricted configuration spaces within the multiconfiguration time-dependent Hartree-Fock method , 2015 .
[69] J. Brand,et al. Center-of-mass motion as a sensitive convergence test for variational multimode quantum dynamics , 2015, 1510.07845.
[70] L. Madsen,et al. Effects of core space and excitation levels on ground-state correlation and photoionization dynamics of Be and Ne. , 2018, The Journal of chemical physics.
[71] L. Cederbaum,et al. Unified view on linear response of interacting identical and distinguishable particles from multiconfigurational time-dependent Hartree methods. , 2013, The Journal of chemical physics.
[72] L. Cederbaum,et al. Phantom vortices: hidden angular momentum in ultracold dilute Bose-Einstein condensates , 2017, Scientific Reports.
[73] Kenichi L. Ishikawa,et al. Time-dependent complete active-space self-consistent field method for multielectron dynamics in intense laser fields , 2013, 2013 Conference on Lasers and Electro-Optics Pacific Rim (CLEOPR).
[74] L. Madsen,et al. Excitation spectra of systems of indistinguishable particles by the autocorrelation function technique: Circumventing the exponential scaling for bosons. , 2019, The Journal of chemical physics.
[75] L. Cederbaum,et al. Variance of an anisotropic Bose-Einstein condensate , 2017, Chemical Physics.
[76] P. Kevrekidis,et al. Correlation effects in the quench-induced phase separation dynamics of a two species ultracold quantum gas , 2017, 1712.03537.
[77] Wenliang Li,et al. Electron correlation in beryllium: Effects in the ground state, short-pulse photoionization, and time-delay studies , 2017, 1703.06022.
[78] Joachim Burgdörfer,et al. Attosecond chronoscopy of photoemission , 2015 .
[79] M. Gajda. Criterion for Bose-Einstein condensation in a harmonic trap in the case with attractive interactions , 2006 .
[80] P. Schmelcher,et al. Beyond mean-field dynamics of ultra-cold bosonic atoms in higher dimensions: facing the challenges with a multi-configurational approach , 2016, 1608.04710.
[81] U. Manthe. Comment on ‘‘A multiconfiguration time‐dependent Hartree approximation based on natural single‐particle states’’ [J. Chem. Phys. 99, 4055 (1993)] , 1994 .
[82] L. Cederbaum,et al. Multiconfigurational time-dependent Hartree method for mixtures consisting of two types of identical particles , 2007 .
[83] V. Yukalov,et al. Fermi-Bose mapping for one-dimensional Bose gases , 2005, cond-mat/0507409.
[84] L. Cederbaum,et al. Excitation spectra of many-body systems by linear response: General theory and applications to trapped condensates , 2013, 1307.1667.
[85] Emmanuel Foumouo,et al. Theory of multiphoton single and double ionization of two-electron atomic systems driven by short-wavelength electric fields: An ab initio treatment , 2006 .
[86] L. Cederbaum,et al. Many-body tunneling dynamics of Bose-Einstein condensates and vortex states in two spatial dimensions , 2015, 1508.03238.
[87] L. Cederbaum,et al. Unified view on multiconfigurational time propagation for systems consisting of identical particles. , 2007, The Journal of chemical physics.
[88] L. Cohen,et al. Exact reduced density matrices for a model problem , 1985 .
[89] Michael Thoss,et al. Numerically exact quantum dynamics for indistinguishable particles: the multilayer multiconfiguration time-dependent Hartree theory in second quantization representation. , 2009, The Journal of chemical physics.
[90] G. Worth,et al. Relaxation of a system with a conical intersection coupled to a bath: A benchmark 24-dimensional wave packet study treating the environment explicitly , 1998 .
[91] James A. R. Samson,et al. Precision measurements of the total photoionization cross-sections of He, Ne, Ar, Kr, and Xe , 2002 .
[92] C. E. Brion,et al. Compilation of dipole oscillator strengths (cross sections) for the photoabsorption, photoionization and ionic fragmentation of molecules , 1984 .
[93] K. Yamanouchi,et al. Non-Born-Oppenheimer molecular wave functions of H2 by extended multi-configuration time-dependent Hartree-Fock method , 2014 .
[94] J. Burgdorfer,et al. Time delays for attosecond streaking in photoionization of neon , 2014, 1401.2878.
[95] P. Schmelcher,et al. Dynamical pruning of the non-equilibrium quantum dynamics of trapped ultracold bosons , 2019, The Journal of Chemical Physics.
[96] U. Schollwoeck. The density-matrix renormalization group in the age of matrix product states , 2010, 1008.3477.
[97] Josef Paldus,et al. Correlation problems in atomic and molecular systems III. Rederivation of the coupled-pair many-electron theory using the traditional quantum chemical methodst†‡§ , 1971 .
[98] K. Yamanouchi,et al. Time-dependent multiconfiguration theory for describing molecular dynamics in diatomic-like molecules. , 2009, The Journal of chemical physics.
[99] L. Madsen,et al. Time-dependent restricted-active-space self-consistent-field singles method for many-electron dynamics. , 2014, The Journal of chemical physics.
[100] R. Levine,et al. Pump and probe ultrafast electron dynamics in LiH: a computational study , 2008 .
[101] C. David Sherrill,et al. The Configuration Interaction Method: Advances in Highly Correlated Approaches , 1999 .
[102] A. Szabó,et al. Modern quantum chemistry : introduction to advanced electronic structure theory , 1982 .
[103] K. Ishikawa,et al. Implementation of the infinite-range exterior complex scaling to the time-dependent complete-active-space self-consistent-field method , 2017, 1712.08779.
[104] R. Lucchese,et al. Probing autoionizing states of molecular oxygen with XUV transient absorption: Electronic-symmetry-dependent line shapes and laser-induced modifications , 2016, 1611.05535.
[105] Himadri Pathak,et al. Time-dependent optimized coupled-cluster method for multielectron dynamics , 2017, 1712.09044.
[106] A. Streltsov,et al. Many-body excitations and deexcitations in trapped ultracold bosonic clouds , 2016, 1608.08060.
[107] M. Nest,et al. The multi-configuration electron-nuclear dynamics method applied to LiH. , 2012, The Journal of chemical physics.
[108] L. Cederbaum,et al. How an interacting many-body system tunnels through a potential barrier to open space , 2012, Proceedings of the National Academy of Sciences.
[109] Haobin Wang,et al. A multilayer multiconfiguration time-dependent Hartree study of the nonequilibrium Anderson impurity model at zero temperature , 2017, Chemical Physics.
[110] L. Cederbaum,et al. Many-body effects in the excitation spectrum of weakly interacting Bose-Einstein condensates in one-dimensional optical lattices , 2016, 1612.06711.
[111] L. Cederbaum,et al. General variational many-body theory with complete self-consistency for trapped bosonic systems , 2006, cond-mat/0603212.
[112] The multi-layer multi-configuration time-dependent Hartree method for bosons: theory, implementation, and applications. , 2013, The Journal of chemical physics.
[113] O. Alon,et al. Impact of the range of the interaction on the quantum dynamics of a bosonic Josephson junction , 2017, Chemical Physics.
[114] O. Alon,et al. Many-body quantum dynamics of an asymmetric bosonic Josephson junction , 2018, New Journal of Physics.
[115] Krzysztof Sacha,et al. Images of the dark soliton in a depleted condensate , 2002, cond-mat/0212492.
[116] S. Klaiman,et al. Variance as a sensitive probe of correlations , 2015, 1502.07528.
[117] L. Cederbaum,et al. Reduced Density Matrices and Coherence of Trapped Interacting Bosons , 2008, 0802.3417.
[118] O. Penrose,et al. Bose-Einstein Condensation and Liquid Helium , 1956 .
[119] Rescigno,et al. Complex Kohn variational method: Application to low-energy electron-molecule collisions. , 1988, Physical review. A, General physics.
[120] L. Cederbaum,et al. Attractive Bose-Einstein condensates in anharmonic traps: Accurate numerical treatment and the intriguing physics of the variance , 2018, Chemical Physics.
[121] R. Lefebvre,et al. Advances in Chemical Physics: LeFebvre/Advances , 1969 .
[122] A. Streltsov. Quantum systems of ultracold bosons with customized interparticle interactions , 2013, 1307.5187.
[123] Fragmentation of Bose-Einstein Condensates , 2006, cond-mat/0605711.
[124] C. Lubich,et al. A projector-splitting integrator for dynamical low-rank approximation , 2013, BIT Numerical Mathematics.
[125] J. West,et al. Absolute photoionization cross-section tables for helium, neon, argon, and krypton in the VUV spectral regions , 1976 .
[126] C. Lévêque,et al. Fidelity and Entropy Production in Quench Dynamics of Interacting Bosons in an Optical Lattice , 2019, Quantum Reports.
[127] A. Lode. Tunneling Dynamics in Open Ultracold Bosonic Systems , 2015 .
[128] L. Madsen,et al. Extracting continuum information from Ψ ( t ) in time-dependent wave-packet calculations , 2007 .
[129] D. Tannor,et al. Dynamical pruning of the multiconfiguration time-dependent Hartree (DP-MCTDH) method: An efficient approach for multidimensional quantum dynamics. , 2017, The Journal of chemical physics.
[130] A. Scrinzi,et al. Core-polarization effects in molecular high harmonic generation , 2008 .
[131] C. Bruder,et al. Fragmented Superradiance of a Bose-Einstein Condensate in an Optical Cavity. , 2016, Physical review letters.
[132] E. Gross. Structure of a quantized vortex in boson systems , 1961 .
[133] Lars Grasedyck,et al. Tree Adaptive Approximation in the Hierarchical Tensor Format , 2014, SIAM J. Sci. Comput..
[134] L. Cederbaum. Exact many-body wave function and properties of trapped bosons in the infinite-particle limit , 2017 .
[135] Lars Bojer Madsen,et al. Time-dependent restricted-active-space self-consistent-field theory for laser-driven many-electron dynamics. II. Extended formulation and numerical analysis , 2014 .
[136] P. Nozieres,et al. Particle vs. pair condensation in attractive Bose liquids , 1982 .
[137] K. Ishikawa,et al. Time-dependent multiconfiguration self-consistent-field method based on the occupation-restricted multiple-active-space model for multielectron dynamics in intense laser fields , 2014, 1411.3077.
[138] P. Schmelcher,et al. Many-body expansion dynamics of a Bose-Fermi mixture confined in an optical lattice , 2018, Physical Review A.
[139] Jeppe Olsen,et al. Determinant based configuration interaction algorithms for complete and restricted configuration interaction spaces , 1988 .
[140] S. Burger,et al. Dark solitons in Bose-Einstein condensates , 1999, QELS 2000.
[141] T. Carrington,et al. Systematically expanding nondirect product bases within the pruned multi-configuration time-dependent Hartree (MCTDH) method: A comparison with multi-layer MCTDH. , 2017, The Journal of chemical physics.
[142] L. Cederbaum,et al. Universality of fragmentation in the Schrödinger dynamics of bosonic Josephson junctions , 2012, 1207.1011.
[143] Mechthild Thalhammer,et al. Error analysis of high-order splitting methods for nonlinear evolutionary Schrödinger equations and application to the MCTDHF equations in electron dynamics , 2013 .
[144] Jürgen Zanghellini,et al. Testing the multi-configuration time-dependent Hartree-Fock method , 2004 .
[145] Y. Castin,et al. Low-temperature Bose-Einstein condensates in time-dependent traps: Beyond the U(1) symmetry-breaking approach , 1998 .
[146] P. Saalfrank,et al. Time-dependent approach to electronically excited states of molecules with the multiconfiguration time-dependent Hartree-Fock method. , 2007, The Journal of chemical physics.
[147] H. Meyer,et al. Time‐dependent calculation of reactive flux employing complex absorbing potentials: General aspects and application within the multiconfiguration time‐dependent Hartree wave approach , 1996 .
[148] Christine Guerlin,et al. Dicke quantum phase transition with a superfluid gas in an optical cavity , 2009, Nature.
[149] L. Cederbaum,et al. Exact quantum dynamics of a bosonic Josephson junction. , 2009, Physical review letters.
[150] P. Schmelcher,et al. Correlated tunneling dynamics of an ultracold Fermi-Fermi mixture confined in a double well , 2018, Physical Review A.
[151] J. B. McGuire,et al. Study of Exactly Soluble One-Dimensional N-Body Problems , 1964 .
[152] M. Ivanov,et al. Multielectron correlation in high-harmonic generation: a 2D model analysis. , 2009, Physical review letters.
[153] S. Klaiman,et al. Uncertainty product of an out-of-equilibrium many-particle system , 2015, 1509.00762.
[154] Bill Sutherland,et al. Quantum Many‐Body Problem in One Dimension: Thermodynamics , 1971 .
[155] V. S. Bagnato,et al. Parametric Excitation of a Bose-Einstein Condensate: From Faraday Waves to Granulation , 2017, Physical Review X.
[156] O. Alon. Condensates in annuli: dimensionality of the variance , 2019, Molecular Physics.
[157] U. Manthe,et al. On the multi-layer multi-configurational time-dependent Hartree approach for bosons and fermions. , 2017, The Journal of chemical physics.
[158] A. D. McLACHLAN,et al. Time-Dependent Hartree—Fock Theory for Molecules , 1964 .
[159] L. Cederbaum,et al. Formation and dynamics of many-boson fragmented states in one-dimensional attractive ultracold gases. , 2008, Physical review letters.
[160] J. Cizek. On the Correlation Problem in Atomic and Molecular Systems. Calculation of Wavefunction Components in Ursell-Type Expansion Using Quantum-Field Theoretical Methods , 1966 .
[161] H. Kono,et al. Time-dependent multiconfiguration theory for electronic dynamics of molecules in intense laser fields: a description in terms of numerical orbital functions. , 2008, The Journal of chemical physics.
[162] Jürgen Zanghellini,et al. An MCTDHF approach to multielectron dynamics in laser fields , 2003 .
[163] Lars Bojer Madsen,et al. Time-dependent restricted-active-space self-consistent-field theory for laser-driven many-electron dynamics , 2013, 1304.5904.
[164] A. Lode,et al. Order parameter and detection for a finite ensemble of crystallized one-dimensional dipolar bosons in optical lattices , 2018, Physical Review A.
[165] C. W. McCurdy,et al. Qualitative failure of a multiconfiguration method in prolate spheroidal coordinates in calculating dissociative photoionization of H 2 , 2015 .
[166] H. Kono,et al. A single-electron picture based on the multiconfiguration time-dependent Hartree–Fock method: application to the anisotropic ionization and subsequent high-harmonic generation of the CO molecule , 2018 .
[167] P. Engels,et al. Observation of faraday waves in a Bose-Einstein condensate. , 2007, Physical review letters.
[168] S. Kvaal. Variational formulations of the coupled-cluster method in quantum chemistry , 2013 .
[169] P. Dirac. The Quantum Theory of the Emission and Absorption of Radiation , 1927 .
[170] Thomas Bondo Pedersen,et al. Symplectic integration and physical interpretation of time-dependent coupled-cluster theory. , 2018, The Journal of chemical physics.
[171] A. Jensen,et al. Analytic harmonic approach to the N-body problem , 2010, 1011.2453.
[172] C. Bruder,et al. Dynamics of Hubbard Hamiltonians with the multiconfigurational time-dependent Hartree method for indistinguishable particles , 2016, 1604.08809.
[173] U. Manthe,et al. Wave‐packet dynamics within the multiconfiguration Hartree framework: General aspects and application to NOCl , 1992 .
[174] U. Manthe,et al. The multi-configurational time-dependent Hartree approach , 1990 .
[175] Haobin Wang,et al. Employing an interaction picture to remove artificial correlations in multilayer multiconfiguration time-dependent Hartree simulations. , 2016, The Journal of chemical physics.
[176] K. B. Whaley,et al. Optimized pulses for Raman excitation through the continuum: Verification using the multiconfigurational time-dependent Hartree-Fock method , 2016, 1609.04505.
[177] U. R. Fischer,et al. Fragmentation of phase-fluctuating condensates , 2017 .
[178] K. Yamanouchi,et al. Time-dependent multiconfiguration method applied to laser-driven H2+ , 2019, Physical Review A.
[179] Kang-Soo Lee,et al. Truncated many-body dynamics of interacting bosons: A variational principle with error monitoring , 2013, 1301.2199.
[180] Elliott H. Lieb,et al. Bosons in a trap: A rigorous derivation of the Gross-Pitaevskii energy functional , 1999, math-ph/9908027.
[181] Spatial fragmentation of a Bose-Einstein condensate in a double-well potential , 1998, quant-ph/9810094.
[182] F. Haldane,et al. Luttinger liquid theory of one-dimensional quantum fluids. I. Properties of the Luttinger model and their extension to the general 1D interacting spinless Fermi gas , 1981 .
[183] H. Kono,et al. Characterization of multielectron dynamics in molecules: a multiconfiguration time-dependent Hartree-Fock picture. , 2014, The Journal of chemical physics.
[184] K. Sakmann. Many-Body Schrödinger Dynamics of Bose-Einstein Condensates , 2011 .
[185] U. Manthe. The multi-configurational time-dependent Hartree approach revisited. , 2015, The Journal of chemical physics.
[186] A. Degasperis,et al. Comparison between the exact and Hartree solutions of a one-dimensional many-body problem , 1975 .
[187] Physical Review , 1965, Nature.
[188] L. Cederbaum,et al. Generic regimes of quantum many-body dynamics of trapped bosonic systems with strong repulsive interactions , 2013, 1312.6174.
[189] U. Manthe. Wavepacket dynamics and the multi-configurational time-dependent Hartree approach , 2017, Journal of physics. Condensed matter : an Institute of Physics journal.
[190] J Burgdörfer,et al. Delay in Photoemission , 2010, Science.
[191] L. Cederbaum,et al. Optimal time-dependent lattice models for nonequilibrium dynamics , 2010, 1006.3530.
[192] Horng-Tzer Yau,et al. Rigorous derivation of the Gross-Pitaevskii equation. , 2006, Physical review letters.
[193] G. Worth,et al. State filtering by a bath: up to 24 mode numerically exact wavepacket propagations , 1999 .
[194] S. Kvaal,et al. Absorbing boundary conditions for dynamical many-body quantum systems , 2009, 0904.2086.
[195] P. Dirac. Note on Exchange Phenomena in the Thomas Atom , 1930, Mathematical Proceedings of the Cambridge Philosophical Society.
[196] L. Cederbaum,et al. Numerically exact quantum dynamics of bosons with time-dependent interactions of harmonic type , 2012, 1207.5128.
[197] Hanna Walach,et al. Time Integration of Rank-Constrained Tucker Tensors , 2017, SIAM J. Numer. Anal..
[198] Yoo,et al. Quantum phase of a Bose-Einstein condensate with an arbitrary number of atoms. , 1996, Physical review letters.
[199] Simen Kvaal,et al. Ab initio quantum dynamics using coupled-cluster. , 2012, The Journal of chemical physics.
[200] E. Lieb,et al. EXACT ANALYSIS OF AN INTERACTING BOSE GAS. I. THE GENERAL SOLUTION AND THE GROUND STATE , 1963 .
[201] Horng-Tzer Yau,et al. Derivation of the cubic non-linear Schrödinger equation from quantum dynamics of many-body systems , 2005, math-ph/0508010.
[202] L. Madsen,et al. Time-dependent restricted-active-space self-consistent-field theory for bosonic many-body systems , 2016, 1612.04419.
[203] A. Lode,et al. Multiconfigurational time-dependent Hartree method for fermions: Implementation, exactness, and few-fermion tunneling to open space , 2015, 1510.02984.
[204] R. Chitra,et al. Superfluid–Mott-insulator transition of ultracold superradiant bosons in a cavity , 2018, Physical Review A.
[205] U. R. Fischer,et al. Condensate fragmentation as a sensitive measure of the quantum many-body behavior of bosons with long-range interactions , 2015, 1502.04889.
[206] V. S. Bagnato,et al. Formation of granular structures in trapped Bose–Einstein condensates under oscillatory excitations , 2014, 1407.5603.
[207] L. Madsen,et al. Attosecond photoionization dynamics in neon , 2017, 1712.00625.
[208] J. M. Dahlström,et al. Diagrammatic approach to attosecond delays in photoionization , 2012, 1211.2654.
[209] K. Ishikawa,et al. Implementation of the multiconfiguration time-dependent Hatree-Fock method for general molecules on a multiresolution Cartesian grid , 2016, 1601.01389.
[210] Haobin Wang,et al. Multilayer formulation of the multiconfiguration time-dependent Hartree theory , 2003 .
[211] L. Cederbaum,et al. Quantum dynamics of attractive versus repulsive bosonic Josephson junctions: Bose-Hubbard and full-Hamiltonian results , 2009, 0911.4661.
[212] J. M. Luttinger. An Exactly Soluble Model of a Many‐Fermion System , 1963 .