Non-equilibrium thermal entanglement for a three spin chain

Abstract The dynamics of a chain of three spins coupled at both ends to separate bosonic baths at different temperatures is studied. An exact analytical solution of the master equation in the Born–Markov approximation for the reduced density matrix of the chain is constructed. It is shown that for long times the reduced density matrix converges to the non-equilibrium steady state. Dynamical and steady state properties of the concurrence between the first and the last spin are studied.

[1]  Germany,et al.  Quantum states and phases in driven open quantum systems with cold atoms , 2008, 0803.1482.

[2]  M. Cao,et al.  Thermal entanglement between alternate qubits of a four-qubit heisenberg XX chain in a magnetic field , 2005 .

[3]  Tomaz Prosen,et al.  Exact solution of Markovian master equations for quadratic Fermi systems: thermal baths, open XY spin chains and non-equilibrium phase transition , 2009, 0910.0195.

[4]  W. Wootters.  Entanglement of Formation of an Arbitrary State of Two Qubits , 1997, quant-ph/9709029.

[5]  X. Yi,et al.  Nonequilibrium thermal entanglement in a three-qubit XX model , 2009, 0908.0592.

[6]  Tomaz Prosen,et al.  Quantum phase transition in a far-from-equilibrium steady state of an XY spin chain. , 2008, Physical review letters.

[7]  Thermal entanglement in three-qubit Heisenberg models , 2001, quant-ph/0105075.

[8]  Francesco Petruccione,et al.  The Theory of Open Quantum Systems , 2002 .

[9]  A. Starace,et al.  Anisotropy and magnetic field effects on the entanglement of a two qubit Heisenberg XY chain. , 2002, Physical review letters.

[10]  Luis Quiroga,et al.  Nonequilibrium thermal entanglement , 2007 .

[11]  N. Pumulo.  Simple qubit systems in bosonic baths. , 2013 .

[12]  Xiaoguang Wang.  Threshold temperature for pairwise and many-particle thermal entanglement in the isotropic Heisenberg model , 2002, quant-ph/0205049.

[13]  M. Goldman.  Formal theory of spin--lattice relaxation. , 2001, Journal of magnetic resonance.

[14]  Francesco Petruccione,et al.  Dynamics of nonequilibrium thermal entanglement , 2008, Physical Review A.

[15]  T. Prosen,et al.  Long-range order in nonequilibrium interacting quantum spin chains. , 2010, Physical review letters.

[16]  T. Yu,et al.  Finite-time disentanglement via spontaneous emission. , 2004, Physical review letters.

[17]  Y. Q. Guo,et al.  ENHANCED THERMAL ENTANGLEMENT IN AN ANISOTROPIC HEISENBERG XYZ CHAIN , 2003 .

[18]  Xiaoguang Wang.  Entanglement in the quantum Heisenberg XY model , 2001 .

[19]  Daniel Braun,et al.  Creation of entanglement by interaction with a common heat bath. , 2002, Physical review letters.

[20]  Hong Chen,et al.  Thermal entanglement in the two-qubit Heisenberg XY model under a nonuniform external magnetic field , 2003 .

[21]  S. Bose,et al.  Natural thermal and magnetic entanglement in the 1D Heisenberg model. , 2000, Physical review letters.

[22]  I. Sinayskiy,et al.  Numerical and analytical approach to the quantum dynamics of two coupled spins in bosonic baths , 2009, 0903.5181.

[23]  M B Plenio,et al.  Entangled light from white noise. , 2002, Physical review letters.