The fluctuation theorem for currents in open quantum systems

By David Andrieux, Pierre Gaspard, T. Monnai, S. Tasaki. 2008

169 citations recorded by the source corpus.

A quantum-mechanical framework is set up to describe the full counting statistics of particles flowing between reservoirs in an open system under time-dependent driving. A symmetry relation is obtained, which is the consequence of microreversibility for the probability of the nonequilibrium work and the transfer of particles and energy between the reservoirs. In some appropriate long-time limit, the symmetry relation leads to a steady-state quantum fluctuation theorem for the currents between the reservoirs. On this basis, relationships are deduced which extend the Onsager–Casimir reciprocity relations to the nonlinear response coefficients.

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

View Paper: https://www.semanticscholar.org/paper/f685af62909df20f92c383312932c58409300fbc

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

In Artificial Intelligence

1. Shaul Mukamel
2. Massimiliano Esposito
3. U. Harbola

In Atomic and Molecular Physics, and Optics

1. P. Hänggi
2. P. Talkner
3. Massimiliano Esposito
4. Shaul Mukamel
5. U. Harbola
6. Michele Campisi
7. Jordan M. Horowitz
8. Juan Manuel Rodríguez Parrondo

In Statistical and Nonlinear Physics

1. P. Hänggi
2. P. Talkner
3. Massimiliano Esposito
4. Michele Campisi
5. Shaul Mukamel
6. U. Harbola
7. Jordan M. Horowitz
8. Sai Vinjanampathy

Citations in the corpus

• Colloquium: Quantum fluctuation relations: Foundations and applications (2010, methodology): “The set-up consists of 18 Note the exciting recent advancements obtained with the works (Anetsberger et al., 2009; Kippenberg and Vahala, 2008; LaHaye et al., 2004; O’Connell et al., 2010).”
• Nonequilibrium fluctuations, fluctuation theorems, and counting statistics in quantum systems (2008, background): “The derivation of a steady-state FT for quantum systems has been considered as well [3, 8, 35, 46, 54, 56, 89, 99, 149, 151, 153, 154, 180].”