Controlling and observing nonseparability of phonons created in time-dependent 1D atomic Bose condensates

Robertson, Scott; Michel, Florent; Renaud, Philippe

doi:10.1103/physrevd.95.065020

Cited by 23 publications

(55 citation statements)

References 54 publications

(144 reference statements)

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“…Finally, we note that our analysis of the BEC implementation was a sketch for the purpose of showing the possible benefit of using such a platform, and that the subject deserves a much fuller treatment, with serious attention to experimental details. It seems likely that the static-BEC assumption will need to be refined, and one may need to consider the effect of both the static spacetime curvature and the dynamic trapping potential on the spatiotemporal dependence of the mean-field properties (see [58] for an example of the latter effect).…”

Section: Discussionmentioning

confidence: 99%

Dynamical Casimir effect in curved spacetime

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Fuentes

2017

New J. Phys.

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A boundary undergoing relativistic motion can create particles from quantum vacuum fluctuations in a phenomenon known as the dynamical Casimir effect (DCE). We examine the creation of particles, and more generally the transformation of quantum field states, due to boundary motion in curved spacetime. We provide a novel method enabling the calculation of the effect for a wide range of trajectories and spacetimes. We apply this to the experimental scenario used to detect the DCE, now adopting the Schwarzschild metric, and find novel resonances in particle creation as a result of the spacetime curvature. Finally, we discuss a potential enhancement of the effect for the phonon field of a Bose-Einstein condensate.

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Section: Discussionmentioning

confidence: 99%

Dynamical Casimir effect in curved spacetime

Lock

Fuentes

2017

New J. Phys.

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“…1, and Fig. 13 in [18]. As a final comment, we should add that excitations with nodes could participate to the thermalization of the system, but we shall stop our numerical integration before their effects can become significant.…”

Section: A the Factorization Ansatzmentioning

confidence: 99%

“…where σ 0 ≡ σ(t = 0), ψ(r, 0) is an arbitrary exact solution of the radial GPE, see Eq. (7), and θ(t) is a phase governed by σ(t) whose expression can be found in [18,35]. Hence the evolution of ψ(r, t) is governed by the ODE obeyed by σ(t), see below for its expression.…”

Section: A the Factorization Ansatzmentioning

confidence: 99%

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Nonlinearities induced by parametric resonance in effectively 1D atomic Bose condensates

2018

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We present a numerical study of the dynamical effects following a sudden change of the transverse trapping frequency in an elongated Bose-Einstein condensate, which induces periodic oscillations of the radial density. At early times, we observe an exponential growth of the number of resonant longitudinal phonons, in agreement with the predictions of the Bogoliubov-de Gennes treatment. We then observe an ordered sequence of phenomena induced by the nonlinearities of the system. The first is a loss of the nonseparability of the resonant phonon pairs. This is followed by the saturation of the exponential growth and a strong depletion of condensed atoms. Notably, these effects are well-described by effective 1D dynamics, and are hardly affected by the damping of the radial oscillations. Finally, the atomic spectrum becomes broad, featureless and almost incoherent, in agreement with experimental results. The link between this sequence of events and the preheating scenario in inflationary cosmology is striking, as is the similarity of techniques used to study them. arXiv:1802.00739v2 [cond-mat.quant-gas] 3 Sep 2018

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“…This coupling has been studied numerically in Ref. [22]; the corresponding scattering problem is known to be exactly solvable, cf. [65, §25, Problem 3].…”

Section: B Woods-saxon Couplingmentioning

confidence: 99%

Momentum distribution and coherence of a weakly interacting Bose gas after a quench

et al. 2018

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We consider a weakly interacting uniform atomic Bose gas with a time-dependent nonlinear coupling constant. By developing a suitable Bogoliubov treatment we investigate the time evolution of several observables, including the momentum distribution, the degree of coherence in the system, and their dependence on dimensionality and temperature. We rigorously prove that the low-momentum Bogoliubov modes remain frozen during the whole evolution, while the high-momentum ones adiabatically follow the change in time of the interaction strength. At intermediate momenta we point out the occurrence of oscillations, which are analogous to Sakharov oscillations. We identify two wide classes of time-dependent behaviors of the coupling for which an exact solution of the problem can be found, allowing for an analytic computation of all the relevant observables. A special emphasis is put on the study of the coherence property of the system in one spatial dimension. We show that the system exhibits a smooth "light-cone effect," with typically no prethermalization. arXiv:1810.01362v2 [cond-mat.quant-gas]

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Controlling and observing nonseparability of phonons created in time-dependent 1D atomic Bose condensates

Cited by 23 publications

References 54 publications

Dynamical Casimir effect in curved spacetime

Dynamical Casimir effect in curved spacetime

Nonlinearities induced by parametric resonance in effectively 1D atomic Bose condensates

Momentum distribution and coherence of a weakly interacting Bose gas after a quench

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