The Unruh effect and its applications

Crispino, Luís C. B.; Higuchi, Atsushi; Matsas, George E. A.

doi:10.1103/revmodphys.80.787

Cited by 801 publications

(1,006 citation statements)

References 261 publications

(285 reference statements)

Supporting

Mentioning

984

Contrasting

Unclassified

Order By: Relevance

“…If, however, the unperturbed background is such that the undeformed entangling surface exhibits rotational symmetry in the transverse space, then this symmetry will be inherent in the path integral representation ofρ 0 . In particular, as shown in [23] (see also [37][38][39][40][41]) in this caseK 0 is identical to the generator of angular evolution around Σ andÛ takes the form…”

Section: Jhep12(2014)179mentioning

confidence: 99%

“…Indeed, the reduced density matrix for the vacuum for the semi-infinite domain x 1 > 0 is obtained by tracing out the region x 1 < 0 on a constant zero Minkowski time slice. This is precisely the region hidden by Rindler horizon and the resulting reduced density matrix has a thermal interpretation in the sense of Unruh [23,39,40] with a space dependent temperature that scales as x −1 1 . A Rindler observer who is confined to the right wedge, and who is passing through x 1 at t = 0, finds himself immersed in a thermal bath of Unruh radiation.…”

Section: Perturbations Of a Planar Entangling Surfacementioning

confidence: 99%

See 1 more Smart Citation

Entanglement entropy: a perturbative calculation

Rosenhaus

Smolkin

2014

J. High Energ. Phys.

104

192

View full text Add to dashboard Cite

We provide a framework for a perturbative evaluation of the reduced density matrix. The method is based on a path integral in the analytically continued spacetime. It suggests an alternative to the holographic and 'standard' replica trick calculations of entanglement entropy. We implement this method within solvable field theory examples to evaluate leading order corrections induced by small perturbations in the geometry of the background and entangling surface. Our findings are in accord with Solodukhin's formula for the universal term of entanglement entropy for four dimensional CFTs.

show abstract

Section: Jhep12(2014)179mentioning

confidence: 99%

Section: Perturbations Of a Planar Entangling Surfacementioning

confidence: 99%

Entanglement entropy: a perturbative calculation

Rosenhaus

Smolkin

2014

J. High Energ. Phys.

104

192

View full text Add to dashboard Cite

show abstract

“…This phenomenon, known as the Unruh effect [1], is extremely weak, and even the acceleration as high as a ∼ 10 21 ms −2 should result in the temperature as low as 1K. Although several experimental proposals have been put forth [2][3][4][5][6][7][8][9][10][11][12][13][14], verification of the Unruh effect still remains an open question [15][16][17].…”

Section: Introductionmentioning

confidence: 99%

“…These include the approaches involving Bogolyubov transformation between the Minkowski and Rindler frames of reference [1,15,[18][19][20][21], the application of the Unruh-DeWitt detector model which offers an operational definition of a particle as a trigger for the transitions between the atomic energy levels [1,22], the manifestation of thermalization of open quantum systems involving decoherence and dissipation [23], understanding as a quantum noise channel [24], and the thermal correction to the energy shift and spontaneous excitation of atoms [25][26][27]. In recent years, the Unruh effect has been extensively considered in the field of quantum information.…”

Section: Introductionmentioning

confidence: 99%

Entanglement enhanced thermometry in the detection of the Unruh effect

et al. 2017

View full text Add to dashboard Cite

We show how the use of entanglement can enhance the precision of the detection of the Unruh effect with an accelerated probe. We use a two-level atom interacting relativistically with a quantum field as the probe, and treat it as an open quantum system to derive the master equation governing its evolution. By means of quantum state discrimination, we detect the accelerated motion of the atom by examining its time evolving state. It turns out that the optimal strategy for the detection of the Unruh effect, to which the accelerated atom is sensitive, involves letting the atom-thermometer equilibrate with the thermal bath. However, introducing initial entanglement between the detector and an external degree of freedom leads to an enhancement of the sensitivity of the detector. Also, the maximum precision is attained within finite time, before equilibration takes place.

show abstract

“…Here, rather than discussing the paramount technical challenges related to these experiments, we focus on an intrinsic physical restriction posed by the motion of the satellites when special relativity is taken into consideration (see also Ref. [20], and references therein). We address this issue by investigating the ClauserHorne-Shimony-Holt (CHSH) Bell inequality [21] for two entangled photons when one of the detectors is boosted with some velocity.…”

mentioning

confidence: 99%

Influence of detector motion in entanglement measurements with photons

2010

Self Cite

View full text Add to dashboard Cite

We investigate how the polarization correlations of entangled photons described by wave packets are modified when measured by moving detectors. For this purpose, we analyze the Clauser-Horne-Shimony-Holt Bell inequality as a function of the apparatus velocity. Our analysis is motivated by future experiments with entangled photons designed to use satellites. This is a first step toward the implementation of quantum information protocols in a global scale. Entanglement plays a central role in quantum theory as one of its most distinguishing features [1,2]. It allows for the proof that no theory of local hidden variables can ever reproduce all of the predictions of quantum mechanics [3]. As for applications, entanglement is crucial to quantum cryptography [4][5][6], teleportation [7], dense coding [8], and to the conception of quantum computers (see, e.g., Refs. [9,10], and references therein). Currently, there is much interest in testing quantum mechanics for large space distances and eventually in implementing quantum information protocols in global scales [11][12][13][14][15]. Photons seem to be the ideal physical objects for this purpose. Since present technology limits the use of fiber optics in this context up to about 100 km [16], the most viable alternative to go beyond happens to be free-space transmission using satellites and ground stations [17][18][19]. Here, rather than discussing the paramount technical challenges related to these experiments, we focus on an intrinsic physical restriction posed by the motion of the satellites when special relativity is taken into consideration (see also Ref. [20], and references therein). We address this issue by investigating the ClauserHorne-Shimony-Holt (CHSH) Bell inequality [21] for two entangled photons when one of the detectors is boosted with some velocity. Hereafter we assumeh = c = 1 unless stated otherwise.Let us assume a system composed of two photons, A and B, as emitted in opposite directions along the z axis in a SPS cascade [22]. The polarization of photons A and B is measured along arbitrary directions as defined by the unit vectorsâ i andb j (i, j = 1, 2), respectively, which are orthogonal to the z axis. The distance between the two detectors is large enough to make both measurements causally disconnected. It is well known that the CHSH Bell inequalityis satisfied for local hidden variable theories. Hereis the polarization correlation function obtained after an arbitrarily large number N of experiments is performed, and P A n (â i ) assume +1 or −1 values depending on whether the polarization of photon A is measured alongâ i or orthogonally to it, respectively, and analogously for P B n (b j ). Now, we investigate inequality (1) in the context of quantum mechanics when we allow one of the detectors to move along the z axis (say, carried by a satellite). Let us write the normalized state of a two-photon system as [23,24] where s X , andHere, X = A, B distinguishes between both particles, k X = ( k X , k X ) are the corresponding four-momenta, and s X...

show abstract

The Unruh effect and its applications

Cited by 801 publications

References 261 publications

Entanglement entropy: a perturbative calculation

Entanglement entropy: a perturbative calculation

Entanglement enhanced thermometry in the detection of the Unruh effect

Influence of detector motion in entanglement measurements with photons

Contact Info

Product

Resources

About