Interferometric Unruh Detectors for Bose-Einstein Condensates

Gooding, Cisco; Biermann, Steffen; Erne, Sebastian; Louko, Jorma; Unruh, W. G.; Schmiedmayer, Jörg; Weinfurtner, Silke

doi:10.1103/physrevlett.125.213603

Cited by 60 publications

(60 citation statements)

References 42 publications

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“…This is in tune with various recent proposals for physical setups exploring quantum-mechanical systems as probes for quantum fields. Examples include localized lasers which couple to Bose-Einstein condensates [41] and superconducting circuits coupled to a transmission line [42], both of which turn out to be effectively described by the UDW model. The connection with line defects and Wilson loops also motivates further interest in probing gauge theories via particle detector models.…”

Section: Resultsmentioning

confidence: 99%

A path integral formulation for particle detectors: the Unruh-DeWitt model as a line defect

Burbano

Perche

Torres

2021

J. High Energ. Phys.

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Particle detectors are an ubiquitous tool for probing quantum fields in the context of relativistic quantum information (RQI). We formulate the Unruh-DeWitt (UDW) particle detector model in terms of the path integral formalism. The formulation is able to recover the results of the model in general globally hyperbolic spacetimes and for arbitrary detector trajectories. Integrating out the detector’s degrees of freedom yields a line defect that allows one to express the transition probability in terms of Feynman diagrams. Inspired by the light-matter interaction, we propose a gauge invariant detector model whose associated line defect is related to the derivative of a Wilson line. This is another instance where nonlocal operators in gauge theories can be interpreted as physical probes for quantum fields.

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Section: Resultsmentioning

confidence: 99%

A path integral formulation for particle detectors: the Unruh-DeWitt model as a line defect

Burbano

Perche

Torres

2021

J. High Energ. Phys.

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show abstract

“…In this effective spacetime geometry, the speed of sound c plays the role of the speed of light. 2 Although this curved spacetime representation underpins the motivating analogy, it plays no direct role in our analysis, which is based instead on the action (2.5)…”

Section: Action and Field Equation For Bec Perturbationsmentioning

confidence: 99%

“…which is 1/ 2 times the local sound speed, c(0) = 1/ 2, at the center of the condensate. The second order correction λ (2) 0k to the squared frequency can now be easily evaluated analytically using (3.12). Note that c 2 in this condensate can be written as a superposition of the first two eigenfunctions, c 2 = a f 0 + b f 1 , with coefficients a = 1/ 32 and b = 1/ 96.…”

Section: Harmonic Radial Trapmentioning

confidence: 99%

“…Their effect on the evolution of α 0 will thus be of second order. The lowest order contribution of this sort involves only the product A 02 A 20 = −A 2 20 . At the same order there is the contribution of the B 00 term to the azimuthal sound speed.…”

Section: Expanding Two-dimensional Harmonic Thin Ring Potentialmentioning

confidence: 99%

“…The analogy extends to the level of quantum field theory if the fluid is a coherent quantum system, like a Bose-Einstein condensate (BEC) near zero temperature. This opens the possibility of studying, in a laboratory setting, phenomena closely related to those of quantum field theory in curved spacetime, such as particle creation in an expanding universe and Hawking radiation from a black hole [1], the Unruh effect [2], and false vacuum decay [3].…”

Section: Introductionmentioning

confidence: 99%

See 2 more Smart Citations

Phonon redshift and Hubble friction in an expanding BEC

Eckel

Jacobson

2021

SciPost Phys.

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We revisit the theoretical analysis of an expanding ring-shaped Bose-Einstein condensate. Starting from the action and integrating over dimensions orthogonal to the phonon’s direction of travel, we derive an effective one-dimensional wave equation for azimuthally-travelling phonons. This wave equation shows that expansion redshifts the phonon frequency at a rate determined by the effective azimuthal sound speed, and damps the amplitude of the phonons at a rate given by \dot{\mathcal{V}}/{\mathcal{V}}𝒱̇/𝒱, where \mathcal{V}𝒱 is the volume of the background condensate. This behavior is analogous to the redshifting and ``Hubble friction’’ for quantum fields in the expanding universe and, given the scalings with radius determined by the shape of the ring potential, is consistent with recent experimental and theoretical results. The action-based dimensional reduction methods used here should be applicable in a variety of settings, and are well suited for systematic perturbation expansions.

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Unruh-DeWitt detector in dimensionally-reduced static spherically symmetric spacetimes

Tjoa

Mann

2022

J. High Energ. Phys.

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We study the dynamics of an Unruh-DeWitt detector interacting with a massless scalar field in an arbitrary static spherically symmetric spacetimes whose metric is characterised by a single metric function f(r). In order to obtain clean physical insights, we employ the derivative coupling variant of the Unruh-DeWitt model in (1+1) dimensions where powerful conformal techniques enable closed-form expressions for the vacuum two-point functions. Due to the generality of the formalism, we will be able to study a very general class of static spherically symmetric (SSS) background. We pick three examples to illustrate our method: (1) non-singular Hayward black holes, (2) the recently discovered D → 4 limit of Gauss-Bonnet black holes, and (3) the “black bounce” metric that interpolates Schwarzschild black holes and traversable wormholes. We also show that the derivative coupling Wightman function associated with the generalized Hartle-Hawking vacuum satisfies the KMS property with the well-known temperature f′(rH)/(4π), where rH is the horizon radius.

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Interferometric Unruh Detectors for Bose-Einstein Condensates

Cited by 60 publications

References 42 publications

A path integral formulation for particle detectors: the Unruh-DeWitt model as a line defect

A path integral formulation for particle detectors: the Unruh-DeWitt model as a line defect

Phonon redshift and Hubble friction in an expanding BEC

Unruh-DeWitt detector in dimensionally-reduced static spherically symmetric spacetimes

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