Hawking radiation correlations in Bose-Einstein condensates using quantum field theory in curved space

Anderson, Paul R.; Balbinot, Roberto; Fabbri, Alessandro; Renaud, Philippe

doi:10.1103/physrevd.87.124018

Cited by 30 publications

(45 citation statements)

References 28 publications

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“…It can be computed by taking various combinations of derivatives of a quantity that includes the two-point function for a massless minimally coupled scalar field in the analog spacetime [15]. If scattering of the phonons is ignored then there is a negative peak that is predicted to occur in the density-density correlation function when one point is inside and one point is outside the future horizon of the analog black hole [15][16][17]. This peak has been observed experimentally [18,19].…”

Section: Jhep01(2022)192mentioning

confidence: 97%

Horizons and correlation functions in 2D Schwarzschild-de Sitter spacetime

Anderson

Traschen

2022

J. High Energ. Phys.

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Two-dimensional Schwarzschild-de Sitter is a convenient spacetime in which to study the effects of horizons on quantum fields since the spacetime contains two horizons, and the wave equation for a massless minimally coupled scalar field can be solved exactly. The two-point correlation function of a massless scalar is computed in the Unruh state. It is found that the field correlations grow linearly in terms of a particular time coordinate that is good in the future development of the past horizons, and that the rate of growth is equal to the sum of the black hole plus cosmological surface gravities. This time dependence results from additive contributions of each horizon component of the past Cauchy surface that is used to define the state. The state becomes the Bunch-Davies vacuum in the cosmological far field limit. The two point function for the field velocities is also analyzed and a peak is found when one point is between the black hole and cosmological horizons and one point is outside the future cosmological horizon.

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Section: Jhep01(2022)192mentioning

confidence: 97%

Horizons and correlation functions in 2D Schwarzschild-de Sitter spacetime

Anderson

Traschen

2022

J. High Energ. Phys.

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“…This calculation was originally done in [32] but note that there is a mistake in the results. The expressions in that paper are missing a factor of ð4MÞ AEiω 0 .…”

Section: A Modes Used For the In Statementioning

confidence: 99%

Method to compute the stress-energy tensor for a quantized scalar field when a black hole forms from the collapse of a null shell

et al. 2020

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A method is given to compute the stress-energy tensor for a massless minimally coupled scalar field in a spacetime where a black hole forms from the collapse of a spherically symmetric null shell in four dimensions. Part of the method involves matching the modes for the in vacuum state to a complete set of modes in Schwarzschild spacetime. The other part involves subtracting from the unrenormalized expression for the stress-energy tensor when the field is in the in vacuum state, the corresponding expression when the field is in the Unruh state and adding to this the renormalized stress-energy tensor for the field in the Unruh state. The method is shown to work in the two-dimensional case where the results are known.

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“…Since their first experimental realization in alkalis [10,11], Bose-Einstein condensates (BECs) have been investigated extensively from * foroudbemani@gmail.com † r.roknizadeh@gmail.com ‡ mhnaderi@phys.ui.ac.ir both theoretical and experimental points of view [9]. Several aspects of the GTR and QFT have been analyzed by analogy with a BEC [12][13][14][15][16][17][18][19][20][21][22]. The phononic perturbations in a BEC satisfy the Klein-Gordon equation in a curved spacetime and the corresponding metric possesses a singularity which can be regarded as an acoustic analog black hole.…”

Section: Introductionmentioning

confidence: 99%

Quantum simulation of discrete curved spacetime by the Bose–Hubbard model: From analog acoustic black hole to quantum phase transition

2018

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We present a theoretical scheme to simulate quantum field theory in a discrete curved spacetime based on the Bose-Hubbard model describing a Bose-Einstein condensate trapped inside an optical lattice. Using the Bose-Hubbard Hamiltonian, we first introduce a hydrodynamic presentation of the system evolution in discrete space. We then show that the phase (density) fluctuations of the trapped bosons inside an optical lattice in the superfluid (Mott insulator) state obey the Klein-Gordon equation for a massless scalar field propagating in a discrete curved spacetime. We derive the effective metrics associated with the superfluid and Mott-insulator phases and, in particular, we find that in the superfluid phase the metric exhibits a singularity which can be considered as a the manifestation of an analog acoustic black hole. The proposed approach is found to provide a suitable platform for quantum simulation of various spacetime metrics through adjusting the system parameters.

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Hawking radiation correlations in Bose-Einstein condensates using quantum field theory in curved space

Cited by 30 publications

References 28 publications

Horizons and correlation functions in 2D Schwarzschild-de Sitter spacetime

Horizons and correlation functions in 2D Schwarzschild-de Sitter spacetime

Method to compute the stress-energy tensor for a quantized scalar field when a black hole forms from the collapse of a null shell

Quantum simulation of discrete curved spacetime by the Bose–Hubbard model: From analog acoustic black hole to quantum phase transition

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