Thermodynamics of relativistic quantum fields confined in cavities

Bruschi, David Edward; Morris, Benjamin; Fuentes, Ivette

doi:10.1016/j.physleta.2020.126601

Cited by 8 publications

(4 citation statements)

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“…Moreover, Ref. [22] considered several quantum thermodynamic quantities for a quantum field in a cavity that undergoes acceleration.…”

mentioning

confidence: 99%

“…Suppose that the cavity is in an inertial frame at the initial state. In relativistic quantum information, we are usually only interested in one or two modes in the cavity, and the other remaining modes are regarded as the environment [6,22]. Therefore, following Ref.…”

mentioning

confidence: 99%

“…Therefore, following Ref. [22], we divide the whole modes into the system S and the environment E. A set of modes in the system S is defined by S = {n s1 , n s2 , . .…”

mentioning

confidence: 99%

“…Equation (22) shows that the extent of scrambling induced by the cavity acceleration can be bounded from above by the entropy ∆S and the dissipated heat Q in the cavity.…”

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confidence: 99%

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Relativistic entropy production for quantum field in cavity

Hasegawa¹

2021

Preprint

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A non-uniformly accelerated quantum field in a cavity undergoes the coordinate transformation of annihilation and creation operators, known as the Bogoliubov transformation. In this Letter, we consider the entropy production of a quantum field in a cavity induced by the Bogoliubov transformation. Dividing modes in the cavity into the system and environment, we obtain the lower bound of the entropy production which is defined by the sum of the von Neumann entropy in the system and the dissipated heat in the environment. The obtained lower bound is a signature of a refined second law of thermodynamics for a quantum field in a cavity and can be interpreted as the Landauer principle, which gives the thermodynamic cost of changing information contained in the system. Moreover, it gives an upper bound for the quantum mutual information, which can quantify the extent of information scrambling in the cavity due to the acceleration.

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“…Moreover, Ref. [22] considered several quantum thermodynamic quantities for a quantum field in a cavity that undergoes acceleration.…”

mentioning

confidence: 99%

mentioning

confidence: 99%

“…Therefore, following Ref. [22], we divide the whole modes into the system S and the environment E. A set of modes in the system S is defined by S = {n s1 , n s2 , . .…”

mentioning

confidence: 99%

“…Equation (22) shows that the extent of scrambling induced by the cavity acceleration can be bounded from above by the entropy ∆S and the dissipated heat Q in the cavity.…”

mentioning

confidence: 99%

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Relativistic entropy production for quantum field in cavity

Hasegawa¹

2021

Preprint

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Quantum Stirling heat engine with squeezed thermal reservoir

Papadatos

2023

Chinese Phys. B

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We analyze the performance of a quantum Stirling heat engine (QSHE), using a two level system and the harmonic oscillator as the working medium, that contacts with a squeezed thermal reservoir and a cold reservoir. First, we derive closed-form expressions for the produced work and efficiency which strongly depends on the squeezing parameter $r_h$. Then, we prove that the effect of squeezing heats the working medium to a higher effective temperature which leads to better overall performance. In particular, the efficiency increases with the degree of squeezing surpassing the standard Carnot limit, when the ratio of temperatures of hot and cold reservoir is small. Furthermore, we derive the analytical expressions for the efficiency at maximum work and the maximum produced work in the high and low temperature regime and we find that at extreme temperatures the squeezing parameter $r_h$ does not affect the performance of the QSHE. Finally, the performance of the QSHE depends on the nature of the working medium.

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