# Coherent fluctuation relations: from the abstract to the concrete

@article{Holmes2019CoherentFR, title={Coherent fluctuation relations: from the abstract to the concrete}, author={Zoe Holmes and Sebastian Weidt and David Jennings and Janet Anders and Florian Mintert}, journal={Quantum}, year={2019} }

Recent studies using the quantum information theoretic approach to thermodynamics show that the presence of coherence in quantum systems generates corrections to classical fluctuation theorems. To explicate the physical origins and implications of such corrections, we here convert an abstract framework of an autonomous quantum Crooks relation into quantum Crooks equalities for well-known coherent, squeezed and cat states. We further provide a proposal for a concrete experimental scenario to…

## 23 Citations

Information fluctuation theorem for an open quantum bipartite system.

- Physics, MedicinePhysical review. E
- 2020

This work presents a fluctuation theorem (FT) that explicitly addresses the quantum correlation of subsystems during the thermodynamic evolution and derives a FT in such a form that relates the entropy production of local systems in the time-forward transition to the change of quantum correlation in theTime-reversed transition.

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In Newtonian mechanics, any closed-system dynamics of a composite system in a microstate will leave all its individual subsystems in distinct microstates, however this fails dramatically in quantum…

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- PhysicsPhysical Review X
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We establish the general framework of quantum fluctuation theorems by finding the symmetry between the forward and backward transitions of any given quantum channel. The Petz recovery map is adopted…

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- Medicine, PhysicsPhysical review letters
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This work shows that quantum fluctuations prohibit finding slow protocols that minimize both dissipation and fluctuations simultaneously, in contrast to classical slow processes, and develops a quantum geometric framework to find processes with an optimal trade-off between the two quantities.

The Coherent Crooks Equality

- Physics
- 2018

This chapter reviews an information theoretic approach (Part V) to deriving quantum fluctuation theorems (see Chap. 10) that was developed in [37, 38]. When a thermal system is driven from…

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- Physics
- 2020

An open question of fundamental importance in quantum thermodynamics is how to describe the statistics of work for initial state with quantum coherence. In this paper, work statistics is considered…

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- Physics, MedicinePhysical review letters
- 2019

We introduce the idea of weakly coherent collisional models, where the elements of an environment interacting with a system of interest are prepared in states that are approximately thermal but have…

Probabilistically Violating the First Law of Thermodynamics in a Quantum Heat Engine

- Physics
- 2021

Fluctuations of thermodynamic observables, such as heat and work, contain relevant information on the underlying physical process. These fluctuations are however not taken into account in the…

An introductory review of the resource theory approach to thermodynamics.

- Medicine, PhysicsReports on progress in physics. Physical Society
- 2019

The aim is to facilitate the task of those researchers interested in engaging and contributing to this topic, presenting scope and motivation of its core assumptions and discussing the relation between the resource theory and complementary approaches.

qu an tph ] 2 5 M ar 2 01 9 The Duality in Quantum Work

- 2019

An open question of fundamental importance in thermodynamics is how to describe the statistics of work for the initial state with quantum coherence. In this Letter, work statistics is considered in a…

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