Dilute Fluid Governed by Quantum Fluctuations.

Understanding the effects of interactions in complex quantum systems beyond the mean-field paradigm constitutes a fundamental problem in physics. We show how the atom numbers and interactions in a Bose-Bose mixture can be tuned to cancel mean-field interactions completely. The resulting system is entirely governed by quantum fluctuations-specifically the Lee-Huang-Yang correlations. We derive an effective one-component Gross-Pitaevskii equation for this system, which is shown to be very accurate by comparison with a full two-component description. This allows us to show how the Lee-Huang-Yang correlation energy can be accurately measured using two powerful probes of atomic gases: collective excitations and radio-frequency spectroscopy. Importantly, the behavior of the system is robust against deviations from the atom number and interaction criteria for canceling the mean-field interactions. This shows that it is feasible to realize a setting where quantum fluctuations are not masked by mean-field forces, allowing investigations of the Lee-Huang-Yang correction at unprecedented precision.

[1]  C. Salomon,et al.  The Equation of State of a Low-Temperature Fermi Gas with Tunable Interactions , 2010, Science.

[2]  Clarissa Wink,et al.  Observing the Rosensweig instability of a quantum ferrofluid , 2015, Nature.

[3]  A. Altmeyer,et al.  Collective oscillations of a Fermi gas in the unitarity limit: Temperature effects and the role of pair correlations , 2008, 0809.1814.

[4]  Effect of cold collisions on spin coherence and resonance shifts in a magnetically trapped ultracold gas , 2002, cond-mat/0208294.

[5]  C. Wieman,et al.  Bragg spectroscopy of a strongly interacting 85Rb Bose-Einstein condensate. , 2008, Physical review letters.

[6]  P. Cheiney,et al.  Bright Soliton to Quantum Droplet Transition in a Mixture of Bose-Einstein Condensates. , 2017, Physical review letters.

[7]  F. Dalfovo,et al.  Theory of Bose-Einstein condensation in trapped gases , 1998, cond-mat/9806038.

[8]  Xavier Antoine,et al.  GPELab, a Matlab toolbox to solve Gross-Pitaevskii equations I: Computation of stationary solutions , 2014, Comput. Phys. Commun..

[9]  Cornell,et al.  Collective Excitations of a Bose-Einstein Condensate in a Dilute Gas. , 1996, Physical review letters.

[10]  R. Grimm,et al.  Precision measurements of collective oscillations in the BEC-BCS crossover. , 2006, Physical review letters.

[11]  A. Fetter,et al.  Quantum Theory of Many-Particle Systems , 1971 .

[12]  E. Cornell,et al.  Measurements of Tan's contact in an atomic Bose-Einstein condensate. , 2012, Physical review letters.

[13]  M. Modugno,et al.  Self-Bound Quantum Droplets of Atomic Mixtures in Free Space. , 2017, Physical review letters.

[14]  Tilman Pfau,et al.  Observation of Quantum Droplets in a Strongly Dipolar Bose Gas. , 2016, Physical review letters.

[15]  E. Braaten,et al.  Quantum corrections to the ground state of a trapped Bose-Einstein condensate , 1997, cond-mat/9707199.

[16]  S. Andreev,et al.  Effective interactions in a quantum Bose-Bose mixture , 2017, 1712.00039.

[17]  Tilman Pfau,et al.  Self-bound droplets of a dilute magnetic quantum liquid , 2016, Nature.

[18]  L. Santos,et al.  Quantum-Fluctuation-driven crossover from a dilute bose-einstein condensate to a macrodroplet in a dipolar quantum fluid , 2016, 1607.06613.

[19]  D. M. Larsen BINARY MIXTURES OF DILUTE BOSE GASES WITH REPULSIVE INTERACTIONS AT LOW TEMPERATURE , 1963 .

[20]  Kerson Huang,et al.  Eigenvalues and Eigenfunctions of a Bose System of Hard Spheres and Its Low-Temperature Properties , 1957 .

[21]  Marius Lysebo,et al.  Feshbach resonances and transition rates for cold homonuclear collisions between K 39 and K 41 atoms , 2010 .

[22]  J. Arlt,et al.  Observation of Attractive and Repulsive Polarons in a Bose-Einstein Condensate. , 2016, Physical review letters.

[23]  A. Schirotzek,et al.  Realization of a strongly interacting Bose-Fermi mixture from a two-component Fermi gas. , 2008, Physical review letters.

[24]  D. Stamper-Kurn,et al.  Collisionless and Hydrodynamic Excitations of a Bose-Einstein Condensate , 1998 .

[25]  P. Cheiney,et al.  Quantum liquid droplets in a mixture of Bose-Einstein condensates , 2018 .

[26]  G. Bruun,et al.  Quasiparticle Properties of a Mobile Impurity in a Bose-Einstein Condensate. , 2015, Physical review letters.

[27]  Xavier Antoine,et al.  GPELab, a Matlab toolbox to solve Gross-Pitaevskii equations II: Dynamics and stochastic simulations , 2015, Comput. Phys. Commun..

[28]  W. Krauth,et al.  Dynamics and thermodynamics of the low-temperature strongly interacting Bose gas. , 2011, Physical review letters.

[29]  D. Petrov,et al.  Quantum Mechanical Stabilization of a Collapsing Bose-Bose Mixture. , 2015, Physical review letters.