Measuring of the counting statistics FCS by qubit

Measuring of the counting statistics (FCS) by qubit

Violation of the Second Law of Thermodynamics by Quantum Maxwell Demon • Gordey B. Lesovik (Landau institute, Russia) On the Law of Increasing Entropy and the Cause of the Dynamics Irreversibility of Quantum Systems G. B. Lesovik, JETP LETTERS Vol. 98 p. 207 (2013) ar. Xiv: 1407. 4437 H-theorem in quantum systems interacting with reservoir. G. B. Lesovik, I. A. Sadovskyy, A. V. Lebedev, M. V. Suslov, V. M. Vinokur

Abstract • • • Building on the concept of a quantum channel, we formulate quantum H-theorem in terms of observable quantities for a system interacting with the reservoir. We apply our criterion to generic physical quantum systems and uncover the conditions under which these systems follow quantum H-theorem. We discuss manifestation of the second law of thermodynamics in quantum physics and uncover special situations where it can be violated. We describe the operation of a quantum Maxwell demon in the considered special situations and apply it to restore coherence in a Mach-Zehnder interferometer and to separate the energy and entropy cycles in a quantum thermodynamic engine.

Time reversing in quasi-isolated system

Forward and backward evolution of 1 d system interacting with a spin-bath

Entropy diminishing in the case when the system (electron) is correlated with the reservoir (spin-bath)

Unital channel, H-theorem

Quasi-elastic scattering on phonons

Nonunital channel, violation of the second law

Entropy descrease in the energy-isolated system iiiii

Towards observation of the entropy decrease. Flying qubit in the ideal beam splitter + spin.

Flying qubit in edge states of IQHE+charge qubit

Anti-decoherence. Restoration of AB oscillations.

p-SWAP gate

Quantum Maxwell demon

Quantum p-SWAP-men

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