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

Journal Article · Mon Dec 31 23:00:00 EST 2007 · Physical Review E

OSTI ID:956681

Quan, H T ^[1]; Dong, H ^[2]

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1. Los Alamos National Laboratory
2. CHINESE ACADEMY OF SCIENCES

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.

• Research Organization: Los Alamos National Laboratory (LANL)
• Sponsoring Organization: DOE
• DOE Contract Number: AC52-06NA25396
• OSTI ID: 956681
• Report Number(s): LA-UR-08-08069; LA-UR-08-8069
• Journal Information: Physical Review E, Journal Name: Physical Review E
• Country of Publication: United States
• Language: English

Related Subjects

71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
COMPUTERIZED SIMULATION
EQUILIBRIUM
FLUCTUATIONS
NUMERICAL ANALYSIS
QUANTUM MECHANICS
STATISTICAL MECHANICS
THERMODYNAMICS