Analytical results for Josephson dynamics of ultracold bosons

Simon, Lena; Strunz, Walter T.

doi:10.1103/physreva.86.053625

Cited by 30 publications

(59 citation statements)

References 30 publications

(64 reference statements)

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“…For nonzero interactions, many-particle interactions lead to a collapse of this oscillation (which will, in a true quantum-mechanical situation eventually be followed by revivals; cf. [13,14,30]). In this section, we derive an analytic expression for the time scale on which this collapse takes place by using the Husimi distribution (10) to mimic the apparent damping in the Nparticle behavior.…”

Section: A Characteristic Time Scale On Which N-particle Physicsmentioning

confidence: 99%

“…[13,14]). In order to explain such a behavior, extended semiclassical methods have been used [30]. Averaging over classical meanfield solutions produces wrong results as soon as quantum mechanical interference plays a role.…”

Section: -2mentioning

confidence: 99%

“…One approach to explain parts of the behavior of quantum systems is to average over mean-field solutions, so-called truncated Wigner methods [25,[28][29][30][31][32]. For a BEC in a double well, the Husimi distribution (10) can be used to average over mean-field solutions (Refs.…”

Section: A Characteristic Time Scale On Which N-particle Physicsmentioning

confidence: 99%

“…In general, situations with important quantum correlations, where a mean-field approach is no longer adequate, are in the focus of current research, e.g., many-particle entanglement [15], the experimental realization * b.gertjerenken@uni-oldenburg.de of entangled squeezed states [16], mesoscopic quantum superpositions [17][18][19][20][21], and mean-field chaos [22,23]. In order to estimate time scales on which the mean-field dynamics still agrees with N -particle quantum dynamics, classical-field methods can be used to approximate the quantum dynamics by averaging over mean-field solutions [24][25][26][27][28][29][30][31][32], thus mimicking quantum uncertainties that disappear in the mean-field limit (2) but will always be present for finite particle numbers.…”

Section: Introductionmentioning

confidence: 99%

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Beyond-mean-field behavior of large Bose-Einstein condensates in double-well potentials

Gertjerenken

Weiß

2013

Phys. Rev. A

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(2013) 'Beyond-mean-eld behavior of large Bose-Einstein condensates in double-well potentials. ', Physical review A., 88 (3). 033608.Further information on publisher's website:http://dx.doi.org/10.1103/PhysRevA.88.033608Publisher's copyright statement:Reprinted with permission from the American Physical Society: Gertjerenken, Bettina and Weiss, Christoph (2013) 'Beyond-mean-eld behavior of large Bose-Einstein condensates in double-well potentials.', Physical review A., 88 (3). 033608. c 2013 American Physical Society. Readers may view, browse, and/or download material for temporary copying purposes only, provided these uses are for noncommercial personal purposes. Except as provided by law, this material may not be further reproduced, distributed, transmitted, modied, adapted, performed, displayed, published, or sold in whole or part, without prior written permission from the American Physical Society. Additional information:Use policyThe full-text may be used and/or reproduced, and given to third parties in any format or medium, without prior permission or charge, for personal research or study, educational, or not-for-prot purposes provided that:• a full bibliographic reference is made to the original source • a link is made to the metadata record in DRO • the full-text is not changed in any way The full-text must not be sold in any format or medium without the formal permission of the copyright holders.Please consult the full DRO policy for further details. For the dynamics of Bose-Einstein condensates (BECs), differences between mean-field (Gross-Pitaevskii) physics and N -particle quantum physics often disappear if the BEC becomes larger and larger. In particular, the time scale for which both dynamics agree should thus become larger if the particle number increases. For BECs in a double-well potential, we find both examples for which this is the case and examples for which differences remain even for huge BECs on experimentally realistic short time scales. By using a combination of numerical and analytical methods, we show that the differences remain visible on the level of expectation values even beyond the largest possible numbers realized experimentally for BECs with ultracold atoms.

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Section: A Characteristic Time Scale On Which N-particle Physicsmentioning

confidence: 99%

Section: -2mentioning

confidence: 99%

Section: A Characteristic Time Scale On Which N-particle Physicsmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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Beyond-mean-field behavior of large Bose-Einstein condensates in double-well potentials

Gertjerenken

Weiß

2013

Phys. Rev. A

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“…Due to the discrete spectrum of Hamiltonian (2), the entropy shows several revivals and, strictly speaking, it never reaches a stationary value. However, the period of these revivals is typically very long compared to experimentally relevant time scales, and it is still meaningful to consider the steady state at intermediate times [45]. (8), appears as a sharp minimum in the entropy.…”

Section: Long Time Limit Of Entropy and Equilibrationmentioning

confidence: 99%

Entanglement and entropy production in coupled single-mode Bose-Einstein condensates

et al. 2017

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We investigate the time evolution of the entanglement entropy of coupled single-mode BoseEinstein condensates in a double well potential at T = 0 temperature, by combining numerical results with analytical approximations. We find that the coherent oscillations of the condensates result in entropy oscillations on the top of a linear entropy generation at short time scales. Due to dephasing, the entropy eventually saturates to a stationary value, in spite of the lack of equilibration. We show that this long time limit of the entropy reflects the semiclassical dynamics of the system, revealing the self-trapping phase transition of the condensates at large interaction strength by a sudden entropy jump. We compare the stationary limit of the entropy to the prediction of a classical microcanonical ensemble, and find surprisingly good agreement in spite of the non-equilibrium state of the system. Our predictions should be experimentally observable on a Bose-Einstein condensate in a double well potential or on a two-component condensate with inter-state coupling.

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Localization due to interaction‐enhanced disorder in bosonic systems

Singh

Shimshoni

2017

Annalen der Physik

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Localization in interacting systems caused by disorder, known as many-body localization (MBL), has attracted a lot of attention in recent years. Most systems studied in this context also show single-particle localization, and the question of MBL is whether the phenomena survives the effects of interactions. It is intriguing to consider a system with no single-particle localization but which does localize in the presence of many particles. The localization phenomena occurs "due to" rather than "in spite of" interactions in such systems. We consider a simple bosonic system and show that interactions enhance the effects of very weak disorder and result in localization when many particles are present. We provide physical insights into the mechanism involved and support our results with analytical and numerical calculations.

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Analytical results for Josephson dynamics of ultracold bosons

Cited by 30 publications

References 30 publications

Beyond-mean-field behavior of large Bose-Einstein condensates in double-well potentials

Beyond-mean-field behavior of large Bose-Einstein condensates in double-well potentials

Entanglement and entropy production in coupled single-mode Bose-Einstein condensates

Localization due to interaction‐enhanced disorder in bosonic systems

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