A Quantum Fluctuation Theorem

By Jorge Kurchan. 2000

230 citations recorded by the source corpus.

We consider a quantum system strongly driven by forces that are periodic in time. The theorem concerns the probability $P(e)$ of observing a given energy change $e$ after a number of cycles. If the system is thermostated by a (quantum) thermal bath, $e$ is the total amount of energy transferred to the bath, while for an isolated system $e$ is the increase in energy of the system itself. Then, we show that $P(e)/P(-e)=e^{\beta e}$, a parameter-free, model-independent relation.

Subfields: Atomic and Molecular Physics, and Optics, Statistical and Nonlinear Physics

View Paper: https://www.semanticscholar.org/paper/5135c20dfcf03bb628322f40adcdfefd0af1304c

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In Atomic and Molecular Physics, and Optics

In Statistical and Nonlinear Physics

Citations in the corpus

Quantum thermodynamics (2015, methodology): “This enables the construction of a work distribution function (known as the two-point measurement work distribution) and allows the formulation of the Tasaki–Crooks relation and the quantum Jarzynski’s equality [5,41,78,79].”
Jarzynski Relations for Quantum Systems and Some Applications (2000, background): “ituation where H = H′, and the time evolution is symmetric in the sense that6 |hϕj|U|ϕii| = |hϕj|U−1|ϕii|. (2.18) Then we have Z(β) = Z′(β), and P U(w) = PU−1(w). Thus (2.17) take the signiﬁcant form [6] e−βwP U(w) = PU(−w), (2.19) which (at least formally) resembles the ﬂuctuation theorem for stead”
Fluctuation theorems for stochastic dynamics (2007, background): “FTs for quantum systems have also been considered, see, for example, [61, 31].”
Colloquium : Statistical mechanics and thermodynamics at strong coupling: Quantum and classical (2019, methodology): “, according to our previous convention, at t = 0, and the second one at t = τ immediately after the protocol is finished (Kurchan, 2000; Talkner et al., 2007; Tasaki, 2000).”
Colloquium: Quantum fluctuation relations: Foundations and applications (2010, background): “(53) This result was first accomplished by Tasaki (2000) and Kurchan (2000).”