Fluctuation-dissipation relation in accelerated frames

Adhikari, Ananya; Bhattacharya, Krishnakanta; Chowdhury, Chandramouli; Majhi, Bibhas Ranjan

doi:10.1103/physrevd.97.045003

Cited by 12 publications

(23 citation statements)

References 39 publications

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“…where ( * ) denotes the complex conjugate, then the structural physical approximation of partial transpose of ρ 12 is given by [24] In this section, we derive the criteria for the detection of bipartite negative partial transpose entangled states in arbitrary dimension employing the method of structural physical approximation (SPA) of partial transposition of any arbitrary dimensional quantum state.…”

Section: Preliminary Resultsmentioning

confidence: 99%

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Detection of a mixed bipartite entangled state in arbitrary dimension via a structural physical approximation of partial transposition

Kumari

Adhikari

2019

Phys. Rev. A

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It is very crucial to know that whether the quantum state generated in the experiment is entangled or not. In the literature, this topic was studied extensively and researchers proposed different approaches for the detection of mixed bipartite entangled state in arbitrary dimension. Proceeding in this line of research, we also propose three different criteria for the detection of mixed bipartite negative partial transpose (NPT) entangled state in arbitrary dimension. Our criteria is based on the method of structural physical approximation (SPA) of partial transposition (PT). We have shown that the proposed criteria for the detection of NPT entangled state can be realized experimentally. Two of the proposed criteria is given in terms of the concurrence of the given state in arbitrary dimension so it is essential to find out the concurrence. Thus, we provide new lower and upper bound of concurrence of the quantum state under investigation in terms of average fidelity of two quantum states and hence these bounds can be realized experimentally. Moreover, we have shown how to perform SPA map on qutrit-qubit system and then explicitly calculated the matrix elements of the density matrix describing the SPA-PT of the qutrit-qubit system. We then illustrate our criteria for the detection of entanglement by considering a class of qubit-qubit system and a class of qutrit-qubit system.

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Section: Preliminary Resultsmentioning

confidence: 99%

“…So the analysis of minimum eigenvalue of ρ out is needed. It has been found that SPA-PT method not only detect entanglement but also can be applied to estimate the optimal singlet fraction, entanglement negativity and concurrence of the two-qubit density matrix in an experiment [24,25]. H. T. Lim et.al.…”

Section: Introductionmentioning

confidence: 99%

Detection of a mixed bipartite entangled state in arbitrary dimension via a structural physical approximation of partial transposition

Kumari

Adhikari

2019

Phys. Rev. A

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“…Substitution of this in (C1) yields (10). Although the form of Green's function (10) is enough for our purpose, but for completeness we shall see that the same can be expressed in an another useful form.…”

Section: Appendix B: Finite Temperature To Zero Temperature Propagatomentioning

confidence: 99%

“…Apart from understanding this from the accelerated detector's perspective [7][8][9], recently it has been observed that the force due to radiation as measured by the accelerated frame satisfies quantum fluctuation-dissipation theorem [10]. This observation is quite analogous to the Brownian motion of a particle in a real thermal bath.…”

Section: Introductionmentioning

confidence: 97%

How robust is the indistinguishability between quantum fluctuation seen from noninertial frame and real thermal bath

et al. 2019

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We re-advocated the conjecture of indistinguishability between the quantum fluctuation observed from a Rindler frame and a real thermal bath, for the case of a free massless scalar field. To clarify the robustness and how far such is admissible, in this paper, we investigate the issue from two different non-inertial observers' perspective. A detailed analysis is being done to find the observable quantities as measured by two non-inertial observers (one is Rindler and another is uniformly rotating) on the real thermal bath and Rindler frame in Minkowski spacetime. More precisely, we compare Thermal-Rindler with Rindler-Rindler and Thermal-rotating with Rindler-rotating situations. In the first model it is observed that although some of the observables are equivalent, all the components of renormalised stress-tensor are not same. In the later model we again find that this equivalence is not totally guaranteed. Therefore we argue that the indistinguishability between the real thermal bath and the Rindler frame may not be totally true.PACS numbers: * blue chandramouli@alumni.iitg.ac.in,chandramouli.chowdhury@icts.res.in † blue susmita.das@alumni.iitg.ac.in, susmitad210@gmail.com ‡ blue suroj176121013@iitg.ac.in § blue bibhas.majhi@iitg.ac.in 1 Similar findings have also been obtained for conformal vacuum, seen by the comoving observers, in the case of de-Sitter (dS) Friedmann-Lamatre-Robertson-Walker (FLRW) Universe. An extension to (1 + 1) Schwarzschild black hole revels that the particles in Kruskal and Unruh vacuum states, seen by the Schwarzschild static observer, exhibits same fluctuationdissipation theorem (see [11] for details).

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“…All these resemblance between these two facts is well compatible with the equivalence principle. Several recent investigations has been done related to the nature of the observed particles in this thermal bath [4][5][6][7]. A very recent investigation reveled that these particles can exhibit Brownian like motion in this thermal bath and satisfy the well known equilibrium fluctuation-dissipation theorem [4,6].…”

Section: Introductionmentioning

confidence: 99%

Detector response along null geodesics in black hole spacetimes and in a Friedmann-Lemaitre-Robertson-Walker universe

Chakraborty

Majhi

2019

Phys. Rev. D

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We study the detector's response when moving along an ingoing null geodesic. The backgrounds are chosen to be black hole spacetimes ((1 + 1) dimensional Schwarzschild metric and near horizon effective metric for any stationary black hole in arbitrary dimensions) as well as Friedmann-Lemaitre-Robertson-Walker (FLRW) Universe. For black holes the trajectories are defined in Schwarzschild coordinates and the field modes are corresponding to Boulware vacuum. Whereas for FLRW case, the detector is moving along the path defined in original cosmic time and the field modes are related to conformal vacuum. The analysis is done for three stages (de-Sitter, radiation dominated and matter dominated) of the Universe. We find that, although the detector is freely falling, it registered particles in the above mentioned respective vacuums. We confirm this by different approaches. The detection probability distributions, in all situations, are thermal in nature.

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Fluctuation-dissipation relation in accelerated frames

Cited by 12 publications

References 39 publications

Detection of a mixed bipartite entangled state in arbitrary dimension via a structural physical approximation of partial transposition

Detection of a mixed bipartite entangled state in arbitrary dimension via a structural physical approximation of partial transposition

How robust is the indistinguishability between quantum fluctuation seen from noninertial frame and real thermal bath

Detector response along null geodesics in black hole spacetimes and in a Friedmann-Lemaitre-Robertson-Walker universe

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