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Work done and irreversible entropy production in a suddenly quenched quantum spin chain with asymmetrical excitation spectra

Ming Zhong, Peiqing Tong

In this paper, we extend the studies on the emergent thermodynamics in a quenched quantum Ising chain (QIC) [R. Dorner, J. Goold, C. Cormick, M. Paternostro, and V. Vedral, Phys. Rev. Lett. 109, 160601 (2012)] to a more general quantum spin chain with asymmetrical excitation spectra. We verify that the Jarzynski and Tasaki-Crooks relations are still tenable in this system. As an example, we discuss the behaviors of the work done and irreversible entropy production induced by a sudden quenching in the anisotropic XY chain in a transverse field with the XZY-YZX type of three-site interactions. Different from the QIC, this system has the phase transitions not only between two gapped phases, but also between gapped (or gapless) and gapless phases at zero temperature. We discuss the effects of quantum phase transitions on the work done and irreversible entropy production at low temperature.In this paper, we extend the studies on the emergent thermodynamics in a quenched quantum Ising chain (QIC) [R. Dorner, J. Goold, C. Cormick, M. Paternostro, and V. Vedral, Phys. Rev. Lett. 109, 160601 (2012)] to a more general quantum spin chain with asymmetrical excitation spectra. We verify that the Jarzynski and Tasaki-Crooks relations are still tenable in this system. As an example, we discuss the behaviors of the work done and irreversible entropy production induced by a sudden quenching in the anisotropic XY chain in a transverse field with the XZY-YZX type of three-site interactions. Different from the QIC, this system has the phase transitions not only between two gapped phases, but also between gapped (or gapless) and gapless phases at zero temperature. We discuss the effects of quantum phase transitions on the work done and irreversible entropy production at low temperature.

Physical Review EMar 25, 201522 citations

Entropy Production in Quantum Spin Systems

David Pierre Ruelle

arXiv:math-ph/0006006Communications in Mathematical PhysicsNov 1, 200190 citations

Quasi-particle spectrum and entanglement generation after a quench in the quantum Potts spin chain

O Pomponio, L Pristyák, G. Takács

Abstract Recently, a non-trivial relation between the quasi-particle spectrum and entanglement entropy production was discovered in non-integrable quenches in the paramagnetic Ising quantum spin chain. Here we study the dynamics of analogous quenches in the quantum Potts spin chain. Tuning the parameters of the system, we observe a sudden increase in the entanglement production rate, which is shown to be related to the appearance of new quasiparticle excitations in the post-quench spectrum. Our results demonstrate the generality of the effect and support its interpretation as the non-equilibrium version of the well-known Gibbs paradox related to mixing entropy which appears in systems with a non-trivial quasi-particle spectrum.Abstract Recently, a non-trivial relation between the quasi-particle spectrum and entanglement entropy production was discovered in non-integrable quenches in the paramagnetic Ising quantum spin chain. Here we study the dynamics of analogous quenches in the quantum Potts spin chain. Tuning the parameters of the system, we observe a sudden increase in the entanglement production rate, which is shown to be related to the appearance of new quasiparticle excitations in the post-quench spectrum. Our results demonstrate the generality of the effect and support its interpretation as the non-equilibrium version of the well-known Gibbs paradox related to mixing entropy which appears in systems with a non-trivial quasi-particle spectrum.

arXiv:1810.05539Journal of Statistical Mechanics Theory and ExperimentJan 1, 201916 citations

Quantum Hertz entropy increase in a quenched spin chain

Darshan G. Joshi, Michele Campisi

arXiv:1301.0233The European Physical Journal BApr 1, 201322 citations

Entropy and correlation functions of a driven quantum spin chain (15 pages)

Leonid S Levitov, R. W. Cherng

Physical Review AJan 1, 20060 citations

Publisher's Note: Relevance of the eigenstate thermalization hypothesis for thermal relaxation [Phys. Rev. E91, 012120 (2015)]

Abdellah Khodja, Robin Steinigeweg, Jochen Gemmer B

Physical Review EJul 6, 20150 citations

Publisher's Note: Work done and irreversible entropy production in a suddenly quenched quantum spin chain with asymmetrical excitation spectra [Phys. Rev. E91, 032137 (2015)]

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Publisher's Note: Work done and irreversible entropy production in a suddenly quenched quantum spin chain with asymmetrical excitation spectra [Phys. Rev. E91, 032137 (2015)]

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