Quantum field simulator for dynamics in curved spacetime

Viermann, Celia; Sparn, Marius; Liebster, Nikolas; Hans, Maurus; Kath, Elinor; Parra-López, Álvaro; Tolosa-Simeón, Mireia; Sánchez-Kuntz, Natalia; Haas, T.; Strobel, Helmut; Floerchinger, Stefan; Oberthaler, Markus K.

doi:10.48550/arxiv.2202.10399

Cited by 4 publications

(4 citation statements)

References 44 publications

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“…In particular, as the rescaled density contrast correlation function serves as a typical observable, our work paves the ground to an extensive experimental investigation of particle production. We report on experimental confirmation of our proposal in [60]. ) and an initial temperature T = 0.3Tc is discussed at initial time t = ti for the rescaled density contrast correlation function in momentum space (left panel) and in position space (right panel).…”

Section: Discussionsupporting

confidence: 70%

Curved and expanding spacetime geometries in Bose-Einstein condensates

Tolosa-Simeón,

Parra-López,

Sánchez-Kuntz

et al. 2022

Preprint

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Phonons have the characteristic linear dispersion relation of massless relativistic particles. They arise as low energy excitations of Bose-Einstein condensates and, in nonhomogeneous situations, are governed by a space-and time-dependent acoustic metric. We discuss how this metric can be experimentally designed to realize curved spacetime geometries, in particular, expanding Friedmann-Lemaître-Robertson-Walker cosmologies, with negative, vanishing, or positive spatial curvature. A nonvanishing Hubble rate can be obtained through a time-dependent scattering length of the background condensate. For relativistic quantum fields this leads to the phenomenon of particle production, which we describe in detail. We explain how particle production and other interesting features of quantum field theory in curved spacetime can be tested in terms of experimentally accessible correlation functions.

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Section: Discussionsupporting

confidence: 70%

Curved and expanding spacetime geometries in Bose-Einstein condensates

Tolosa-Simeón,

Parra-López,

Sánchez-Kuntz

et al. 2022

Preprint

Self Cite

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“…Of particular interest is also investigation of the physics discussed here with quantum simulators as they can be realized, e.g., with ultracold atoms (see also our companion papers [33] and [37]). Furthermore, one may investigate other nontrivial spacetime geometries in d = 2 + 1 spacetime dimensions and try to establish one-to-one correspondences to table-top experiments.…”

Section: Discussionmentioning

confidence: 99%

Scalar quantum fields in cosmologies with 2+1 spacetime dimensions

Sánchez-Kuntz,

Parra-López,

Tolosa-Simeón

et al. 2022

Preprint

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Motivated by the possibility to use Bose-Einstein condensates as quantum simulators for spacetime curvature, we study a massless relativistic scalar quantum field in spatially curved Friedmann-Lemaître-Robertson-Walker universes with d = 2 + 1 spacetime dimensions. In particular, we investigate particle production caused by a time-dependent background geometry, by means of the spectrum of fluctuations and several two-point field correlation functions. We derive new analytical results for several expansion scenarios.

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“…( 46) can be approximated by a typical Rabi frequency of atomic systems Ω R = 40 MHz, corresponding to a laser power P (ω) = 10 µW. For these parameters, the quantum-optical coherence time is t c = 5 ms, which is comparable to the duration of typical cold-atom experiments [109][110][111], but significantly shorter than quantum information storage times achieved with trapped ions [112].…”

Section: B Experimental Verificationmentioning

confidence: 99%

Unified Light-Matter Floquet Theory and its Application to Quantum Communication

Engelhardt¹,

Choudhury²,

Liu³

2022

Preprint

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Periodically-driven quantum systems can exhibit a plethora of intriguing non-equilibrium phenomena, that can be analyzed using Floquet theory. Naturally, Floquet theory is employed to describe the dynamics of atoms interacting with intense laser fields. However, this semiclassical analysis can not account for quantum-optical phenomena that rely on the quantized nature of light. In this paper, we take a significant step to go beyond the semiclassical description of atom-photon coupled systems by unifying Floquet theory with quantum optics using the framework of Full-Counting Statistics. This is achieved by introducing counting fields that keep track of the photonic dynamics. This formalism, which is dubbed "Photon-resolved Floquet theory" (PRFT), is based on two-point tomographic measurements, instead of the two-point projective measurements used in standard Full-Counting Statistics. Strikingly, the PRFT predicts the generation of macroscopic light-matter entanglement when atoms interact with multi-frequency electromagnetic fields, thereby leading to complete decoherence of the atomic subsystem in the basis of the Floquet states. This decoherence occurs rapidly in the optical frequency regime, but is negligible in the radio frequency regime. Intriguingly, time crystals can act as good quantum memories even in the optical frequency regime. Our results thus pave the way for the design of efficient quantum memories and quantum operations. Finally, employing the PRFT, we propose a quantum communication protocol that can significantly outperform the state-of-art few-photon protocols by two orders of magnitude or better. The PRFT potentially leads to new insights in various Floquet settings including spectroscopy, thermodynamics, quantum metrology, and quantum simulations.

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Quantum field simulator for dynamics in curved spacetime

Cited by 4 publications

References 44 publications

Curved and expanding spacetime geometries in Bose-Einstein condensates

Curved and expanding spacetime geometries in Bose-Einstein condensates

Scalar quantum fields in cosmologies with 2+1 spacetime dimensions

Unified Light-Matter Floquet Theory and its Application to Quantum Communication

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