Global Passivity in Microscopic Thermodynamics

Uzdin, Raam; Rahav, Saar

doi:10.1103/physrevx.8.021064

Cited by 44 publications

(76 citation statements)

References 48 publications

(157 reference statements)

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“…Alternatively, one may also obtain equation (19) from (13), thus bridging a gap between thermodynamics and the geometry of quantum states [80,32]. Indeed, the fidelity between two thermal states at temperatures T 1 and T 2 writes as [88] F(ˆ (T 1 ),ˆ (T 2 )) =…”

Section: The Ultimate Thermometric Boundsmentioning

confidence: 99%

Thermometry in the quantum regime: recent theoretical progress

Mehboudi¹,

Sanpera²,

Correa³

2019

J. Phys. A: Math. Theor.

141

176

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Controlling and measuring the temperature in different devices and platforms that operate in the quantum regime is, without any doubt, essential for any potential application. In this review, we report the most recent theoretical developments dealing with accurate estimation of very low temperatures in quantum systems. Together with the emerging experimental techniques and developments of measurement protocols, the theory of quantum thermometry will decisively impinge and shape the forthcoming quantum technologies. While current quantum thermometric methods differ greatly depending on the experimental platform, the achievable precision, and the temperature range of interest, the theory of quantum thermometry is built under a unifying framework at the crossroads of quantum metrology, open quantum systems, and quantum many-body physics. At a fundamental level, theoretical quantum thermometry is concerned with finding the ultimate bounds and scaling laws that limit the precision of temperature estimation for systems in and out of thermal equilibrium. At a more practical level, it provides tools to formulate precise, yet feasible, thermometric protocols for relevant experimental architectures. Last but not least, the theory of quantum thermometry examines genuine quantum features, like entanglement and coherence, for their exploitation in enhanced-resolution thermometry.

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Section: The Ultimate Thermometric Boundsmentioning

confidence: 99%

Thermometry in the quantum regime: recent theoretical progress

Mehboudi¹,

Sanpera²,

Correa³

2019

J. Phys. A: Math. Theor.

141

176

View full text Add to dashboard Cite

show abstract

“…There have been many proposals to quantify coherence [70]. In this context, two measures have been employed to analyze quantum heat engines: (i) Divergence, which becomes the difference between the energy and the von Neumann entropies [38,62,71,72], and (ii) The algebraic definition of coherence, utilized here, equation (D.1).…”

Section: Appendix C Friction Actionmentioning

confidence: 99%

Quantum signatures in the quantum Carnot cycle

Dann

Kosloff

2020

New J. Phys.

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The Carnot cycle combines reversible isothermal and adiabatic strokes to obtain optimal efficiency, at the expense of a vanishing power output. Quantum Carnot-analog cycles are constructed and solved, operating irreversibly with positive power. Swift thermalization is obtained in the isotherms utilizing shortcut to equilibrium protocols and the adiabats employ frictionless unitary shortcuts. The working medium in this study is composed of a particle in a driven harmonic trap. For this system, we solve the dynamics employing a generalized canonical state. Such a description incorporates both changes in energy and coherence. This allows comparing three types of Carnot-analog cycles, Carnot-shortcut, Endo-shortcut and Endo-global. The Carnot-shortcut engine demonstrates the trade-off between power and efficiency. It posses a maximum in power, a minimum cycle-time where it becomes a dissipator and for a diverging cycle-time approaches the ideal Carnot efficiency. The irreversibility of the cycle arises from non-adiabatic driving, which generates coherence. To study the role of coherence we compare the performance of the shortcut cycles, where coherence is limited to the interior of the strokes, with the Endo-global cycle where the coherence never vanishes. The Endo-global engine exhibits a quantum signature at a short cycle-time, manifested by a positive power output while the shortcut cycles become dissipators. If energy is monitored the back action of the measurement causes dephasing and the power terminates.CA c h [4,5], which has been generalized for weak dissipation [6,7].In the quantum regime energy transfer is constrained as well by the second law of thermodynamics [8][9][10][11]. Implying that quantum heat engines are also bounded by the Carnot efficiency. Reversibility and optimal efficiency is obtained in the quantum adiabatic limit, requiring an infinite cycle-time τ cycle .

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“…III D by using a specific type of system-environment dephasing interactions it is possible to decohere the system without changing the energy of the system or the microbath (no heat flow). This thermodynamically irreversible process involves significant correlation buildup between the system and the microbath [34]. However, in Ref.…”

Section: F Quantum Coherence and The Clausius Inequalitymentioning

confidence: 99%

“…where B tot is defined in (34). When a specific protocol described by a global unitary U is applied to the setup, then ∆S tot = 0 since the eigenvalues of the total density matrix do not change in a unitary evolution.…”

Section: CCI -Correlation Compatible Clausius Inequalitymentioning

confidence: 99%

See 1 more Smart Citation

The Second Law and Beyond in Microscopic Quantum Setups

Uzdin

2018

Fundamental Theories of Physics

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The Clausius inequality (CI) is one of the most versatile forms of the second law.Although it was originally conceived for macroscopic steam engines, it is also applicable to quantum single particle machines. Moreover, the CI is the main connecting thread between classical microscopic thermodynamics and nanoscopic quantum thermodynamics. In this chapter, we study three different approaches for obtaining the CI. Each approach shows different aspects of the CI. The goals of this chapter are: (i) To show the exact assumptions made in various derivations of the CI. (ii) To elucidate the structure of the second law and its origin. (iii) To discuss the possibilities each approach offers for finding additional second-law like inequalities. (iv)To pose challenges related to the second law in nanoscopic setups. In particular, we introduce and briefly discuss the notions of exotic heat machines (X machines), and "lazy demons".

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Global Passivity in Microscopic Thermodynamics

Cited by 44 publications

References 48 publications

Thermometry in the quantum regime: recent theoretical progress

Thermometry in the quantum regime: recent theoretical progress

Quantum signatures in the quantum Carnot cycle

The Second Law and Beyond in Microscopic Quantum Setups

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