Fate of entanglement between two Unruh-DeWitt detectors due to their motion and background temperature

Chowdhury, Pratyusha; Majhi, Bibhas Ranjan

doi:10.48550/arxiv.2110.11260

Cited by 5 publications

(13 citation statements)

References 35 publications

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“…The expression of this metric is analogous to the prescription of (14) with Ω 2 = (1 − r H /r), which ensures that the (1 + 1) dimensional Schwarzschild black hole spacetime is conformally flat. One can easily obtain the scalar field decomposition like (16) in this spacetime, with the wave modes now expressed in terms of t s and r . In particular, the related conformal vacuum is known as the Boulware vacuum.…”

Section: A Two Dimensional Schwarzschild Spacetimementioning

confidence: 99%

“…The fascinating phenomenon of quantum entanglement has garnered significant interest in the scenarios of relativistic particles in flat and curved spacetimes [1][2][3][4][5][6][7][8][9][10][11][12][13][14][15][16][17][18]. Studying the dynamics of entangled particles in flat and curved spacetimes [9,[19][20][21] has presented many enthralling perspectives.…”

Section: Introductionmentioning

confidence: 99%

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Entanglement harvesting from conformal vacuums between two Unruh-DeWitt detectors moving along null paths

Barman¹,

Barman²,

Majhi³

2021

Preprint

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It is well-known that the (1 + 1) dimensional Schwarzschild and spatially flat FLRW spacetimes are conformally flat. This work examines entanglement harvesting from the conformal field vacuums in these spacetimes between two Unruh-DeWitt detectors, moving along outgoing null trajectories. In (1 + 1) dimensional Schwarzschild spacetime, we considered the Boulware and Unruh vacuums for our investigations. We also considered the momentum-space representation of Green's functions and linear couplings between the field and the detectors to estimate the concurrence and the mutual information corresponding to specific field mode frequency. In this analysis, one observes that while entanglement harvesting is possible in (1 + 1) dimensional Schwarzschild and (1 + 3) dimensional de Sitter spacetimes, it is not possible in the (1 + 1) dimensional de Sitter background for the same set of parameters when the detectors move along the same outgoing null trajectory. The qualitative results from the Boulware and the Unruh vacuums are alike. Furthermore, we observed that the concurrence depends on the distance d between the two null paths of the detectors in a periodic manner. In (1 + 1) dimensional Schwarzschild and (1 + 3) dimensional de Sitter backgrounds one obtains specific periodic points in d for which concurrence vanishes. While in (1 + 1) dimensional de Sitter spacetime, one gets specific periodic regions in d with vanishing concurrence. We also observe that the mutual information does not depend on d in (1 + 1) dimensional Schwarzschild and de Sitter spacetimes but periodically depends on it in (1 + 3) dimensional de Sitter background.

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Section: A Two Dimensional Schwarzschild Spacetimementioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Entanglement harvesting from conformal vacuums between two Unruh-DeWitt detectors moving along null paths

Barman¹,

Barman²,

Majhi³

2021

Preprint

Self Cite

View full text Add to dashboard Cite

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“…Using (D.15) and adding (D.13) and (D.14), we obtain expression of P A (ω), given in (22). Similarly, adding (D.13), (D.14) and (D.16), we obtain the expression of P A (−ω), given in (23). P B in RRW: Using (A.2), (D.3) and (D.1), we can write P B as…”

Section: Calculation Of Tr(δρ H H α K )mentioning

confidence: 95%

“…Expressions of P A are already presented in (22) and (23). In Appendix D, we obtain expressions of P B when the detector B is accelerating in LRW.…”

Section: The Detectors Are Moving Anti-parallelymentioning

confidence: 97%

“…The underlying inspiration comes from the fact that Unruh effect is greatly influenced by entanglement between the accelerated observer with another accelerated frame [16,17,18,19] . Moreover the entanglement phenomenon itself is observer dependent quantity [20,21,22,23]. In this regard it may also be noted that the quantum entanglement harvesting between two causally disconnected accelerated detectors is possible within a relativistic setup.…”

Section: Introductionmentioning

confidence: 97%

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Constructing an entangled Unruh Otto engine and its efficiency

Barman,

Majhi

2021

Preprint

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Uniformly accelerated frame mimics a thermal bath whose temperature is proportional to the proper acceleration. Using this phenomenon we give a detailed construction of an Otto cycle between two energy eigenstates of a system, consists of two entangled qubits. In the isochoric stages the thermal bath is being provided via the vacuum fluctuations of the background fields for a monopole interaction by accelerating them. We find that Otto cycle is possible when two qubits are accelerating in the right Rindler wedge (RRW); i.e. in parallel motion, with the initial state of the system is taken as anti-symmetric Bell state. The same is also possible for one qubit is accelerating on the RRW and other one is moving in left Rindler wedge; i.e. in anti-parallel motion, with the initial state is a non-maximally entangled one. Moreover, the first situation can provide the efficiency greater than that of the usual single qubit quantum Otto engine, while later one does not. We give the parameter space of the available quantities in the system for increased efficiency. On the other hand, Otto cycle is not possible if one considers the symmetric initial Bell state or non-maximally entangled state for parallel motion. Moreover, for both initial symmetric and anti-symmetric Bell states we do not find any possibility of the cycle for qubits' anti-parallel motion.

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Unruh-Fulling effect in nonlocal field theory: The role of Unruh decomposition

Das¹,

Majhi²

2022

Preprint

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We investigate the Unruh-Fulling (UF) effect in a class of nonlocal field theories by calculating the expectation value of the Rindler number operator in Minkowski vacuum and the response function of the Unruh-DeWitt detector (UD). Contrary to the existing approaches, here, the field is quantised in terms of the Unruh creation and annihilation operators along with the Rindler mode solutions. Such choice, as oppose to standard Minkowski decomposition, naturally incorporates the time translational invariance in the positive frequency Wightman function and hence inherently captures the thermal equilibrium in the system. In this manuscript we analyse the fate of the UF effect for a massless real scalar field in the context of both the Lorentz noninvariant nonlocal theory (LNI-NLT) and Lorentz invariant nonlocal theory (LI-NLT). In case of LNI-NLT, we find that both the expectation value of number operator and the response function of the UD detector are modified by an overall multiplicative factor. Whereas in the background of LI-NLT the aforementioned quantities remain identical to those of the local field theory. We also derive the temperature of the thermal bath as detected by the Rindler observer by implementing the formulation of equilibrium thermodynamics. Our results suggest that the Unruh bath temperature remains unaltered for both the LNI-NLT and LI-NLT.

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Fate of entanglement between two Unruh-DeWitt detectors due to their motion and background temperature

Cited by 5 publications

References 35 publications

Entanglement harvesting from conformal vacuums between two Unruh-DeWitt detectors moving along null paths

Entanglement harvesting from conformal vacuums between two Unruh-DeWitt detectors moving along null paths

Constructing an entangled Unruh Otto engine and its efficiency

Unruh-Fulling effect in nonlocal field theory: The role of Unruh decomposition

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