Quantum crooks fluctuation theorem and quantum Jarzynski equality in the presence of a reservoir

Title: Quantum crooks fluctuation theorem and quantum Jarzynski equality in the presence of a reservoir

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Abstract

We consider the quantum mechanical generalization of Crooks Fluctuation and Jarzynski Equality Theorem for an open quantum system. The explicit expression for microscopic work for an arbitrary prescribed protocol is obtained, and the relation between quantum Crooks Fluctuation Theorem, quantum Jarzynski Equality and their classical counterparts are clarified. Numerical simulations based on a two-level toy model are used to demonstrate the validity of the quantum version of the two theorems beyond linear response theory regime.

Authors:

Quan, H T ^[1]; Dong, H ^[2]

Los Alamos National Laboratory
CHINESE ACADEMY OF SCIENCES

Publication Date:: 2008-01-01

Research Org.:: Los Alamos National Lab. (LANL), Los Alamos, NM (United States)

Sponsoring Org.:: USDOE

OSTI Identifier:: 956681

Report Number(s):: LA-UR-08-08069; LA-UR-08-8069
TRN: US201016%%2366

DOE Contract Number:: AC52-06NA25396

Resource Type:: Journal Article

Journal Name:: Physical Review E

Additional Journal Information:: Journal Name: Physical Review E

Country of Publication:: United States

Language:: English

Subject:: 71; COMPUTERIZED SIMULATION; EQUILIBRIUM; FLUCTUATIONS; NUMERICAL ANALYSIS; QUANTUM MECHANICS; STATISTICAL MECHANICS; THERMODYNAMICS

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                    Quan, H T, and Dong, H. Quantum crooks fluctuation theorem and quantum Jarzynski equality in the presence of a reservoir.  United States: N. p., 2008. 
        Web.

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                    Quan, H T, & Dong, H. Quantum crooks fluctuation theorem and quantum Jarzynski equality in the presence of a reservoir.  United States.

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                    Quan, H T, and Dong, H. Tue .  
        "Quantum crooks fluctuation theorem and quantum Jarzynski equality in the presence of a reservoir".  United States.  https://www.osti.gov/servlets/purl/956681.

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@article{osti_956681,

  title        = {Quantum crooks fluctuation theorem and quantum Jarzynski equality in the presence of a reservoir},

  author       = {Quan, H T and Dong, H},

  abstractNote = {We consider the quantum mechanical generalization of Crooks Fluctuation and Jarzynski Equality Theorem for an open quantum system. The explicit expression for microscopic work for an arbitrary prescribed protocol is obtained, and the relation between quantum Crooks Fluctuation Theorem, quantum Jarzynski Equality and their classical counterparts are clarified. Numerical simulations based on a two-level toy model are used to demonstrate the validity of the quantum version of the two theorems beyond linear response theory regime.},

  doi          = {},

  url          = {https://www.osti.gov/biblio/956681},
  journal      = {Physical Review E},
number       = ,

  volume       = ,

  place        = {United States},

  year         = {2008},

  month        = {1}

}

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