Harvesting entanglement from complex scalar and fermionic fields with linearly coupled particle detectors

Perche, T. Rick; Lima, Caroline; Martín-Martínez, Eduardo

doi:10.48550/arxiv.2111.12779

Cited by 3 publications

(10 citation statements)

References 55 publications

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“…However, things is not as hopeless as it seems. By observing (11), we find that with under certain conditions, we can obtain an elegant formula approximately. When the Unruh-DeWitt detector stays still, and one of the field mode B is in resonance with the detector, i.e.…”

Section: Thermal Statementioning

confidence: 97%

“…From ( 15) we can see that in this case the difference between heat transfer and entropy grow of real scalar field and fermionic field solely comes from the helicity of the Dirac field by adding the factors ηfn[x(t)] and hn[x(t)]η in the integrand (11). And we obtain that the heat transfer is always non-negative, which is in agreement with intuition that being the ground state of H f , the Dirac vacuum can only absorb energy while the entropy of the detector can either grow or decrease.…”

Section: Vacuum Statementioning

confidence: 99%

“…The research on the information aspects of quantum field theory are diverse and has already led to many astonishing results such as the violation of Bell's inequality of vacuum state [7,8,9,10] and entanglement harvesting [11,12,13,14,15]. To study the connection between information and thermodynamics there is Landauer's principle, which states that at least kBT ln 2 energy is required to erase one bit of information [16,17], which provides a new perspective of studying the nature of black hole microstates [18,19].…”

Section: Introductionmentioning

confidence: 99%

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Landauer's princple for Fermionic field in one dimensional bag

Cao¹,

Liu²,

Zhang³

2022

Preprint

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We study the Landauer's principle of an Unruh-DeWitt detector linearly coupled to Dirac field in 1 + 1 dimensional cavity. When the initial state of the field is vacuum, we obtain the heat transfer and von Neumann entropy change perturbatively. For the thermal state, the heat transfer and entropy change are approximately obtained in the case where the interaction time is long enough and the Unruh-DeWitt detector is in resonance with one of the field mode. Compared to the real scalar field, we find the results of vacuum initial state differs solely from the helicity of the Dirac field and the distinguishablity of fermion and anti-fermion comes into play when the initial state is thermal. We also point out that the results for massless fermionic field can be obtained by taking the particle mass m → 0. We find that in both cases satisfy Landauer's principle.

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Section: Thermal Statementioning

confidence: 97%

Section: Vacuum Statementioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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Landauer's princple for Fermionic field in one dimensional bag

Cao¹,

Liu²,

Zhang³

2022

Preprint

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“…This setup defines the interaction of a UDW detector with a real scalar quantum field, and has been thoroughly studied in the literature [3, 9, 12, 14, 19-21, 26, 43, 44]. This model also has a physical appeal, as it has been shown to reproduce realistic models, such as atoms interacting with the electromagnetic field [15][16][17] and nucleons with the neutrino fields [18][19][20].…”

Section: Ultra Rapid Sampling Of Quantum Fieldsmentioning

confidence: 99%

“…Broadly speaking, particle detector models are localized non-relativistic quantum systems that couple to a quantum field. Examples of physical realizations of these range from atoms probing the electromagnetic field [15][16][17] to nucleons interacting with the neutrino fields [18][19][20]. After their first introduction by Unruh and DeWitt in [3,21], these models found many different uses for studying a wide range of phenomena of quantum field theories in both flat and curved spacetimes.…”

Section: Introductionmentioning

confidence: 99%

Spacetime curvature from ultra rapid measurements of quantum fields

Perche,

Shalabi

2022

Preprint

Self Cite

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We write the curvature of spacetime in terms of the excitation probability of particle detectors ultra-rapidly coupled to a quantum field. More precisely, we provide an expansion for the excitation probability of a smeared UDW detector delta-coupled to a real scalar quantum field in a curved background. Using a short distance expansion for the Wightman function, we express the excitation probability of a detector as the transition probability in Minkowski spacetime plus correction terms written as a function of the curvature tensors and the detector size. Comparing the excitation probability in curved spacetimes with its flat analog, we are able to express the components of the Ricci and Riemann curvature tensors as a function of physically measurable excitation probabilities of different shaped detectors.

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Landauer’s Princple for Fermionic Fields in One-Dimensional Bags

Cao,

Liu,

Zhang

2023

Symmetry

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In recent years, growing interest has been paid to the exploration of the concepts of entropy, heat and information, which are closely related to the symmetry properties of the physical systems in quantum theory. In this paper, we follow this line of research on the the validity of the concepts in quantum field theory by studying Landauer’s principle for a Dirac field interacting perturbatively with an Unruh–DeWitt detector in a 1+1-dimensional MIT bag cavity. When the field is initially prepared in the vacuum state, we find that the field always absorbs heat, while the Unruh–DeWitt detector can either gain or lose entropy, depending on its motion status, as a result of the Unruh effect. When the field is initially prepared in the thermal state and the detector remains still, the heat transfer and entropy change can be obtained under two additional but reasonable approximations: (i) one is where the duration of the interaction is turned on for a sufficiently long period, and (ii) the other is where the Unruh–DeWitt detector is in resonance with one of the field modes. Landauer’s principle is verified for both considered cases. Compared to the results of a real scalar field, we find that the formulas of the vacuum initial state differ solely in the internal degree of freedom of the Dirac field, and the distinguishability of the fermion and anti-fermion comes into play when the initial state of the Dirac field is thermal. We also point out that the results for a massless fermionic field can be obtained by taking the particle mass m→0 straightforwardly.

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Harvesting entanglement from complex scalar and fermionic fields with linearly coupled particle detectors

Cited by 3 publications

References 55 publications

Landauer's princple for Fermionic field in one dimensional bag

Landauer's princple for Fermionic field in one dimensional bag

Spacetime curvature from ultra rapid measurements of quantum fields

Landauer’s Princple for Fermionic Fields in One-Dimensional Bags

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