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

Abstract

(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.

Negative differential conductivity and quantum statistical effects in a three-site Bose-Hubbard model

“…The instances where this method is known to be inaccurate are beyond the scope of what we investigate here [25][26][27]. The integration of the resultant stochastic differential equations is stable and the method does allow us to add more wells with reasonable computational cost.…”

Trojan quasiparticles

“…These considerations highlight the particular conceptual value of the driven bosonic Josephson junction (2): it allows one to invoke techniques previously developed in the investigation of the quantum-classical correspondence for studying the relation between full quantum N-particle dynamics and its mean-field description [27,28], with the large-system limit → ∞ N paralleling, in view of equation (23), the semiclassical limit →  0. In the absence of a time-periodic force, that is, for μ ω = 2 0 1 , the semiclassical quantization of the nonrigid pendulum (6) has been explored in significant detail by a large number of authors [14,[29][30][31][32][33].…”

Entropy Production Within a Pulsed Bose–Einstein Condensate

“…Many authors have previously studied the dynamics of a bosonic Josephson junction (1) under the action of an external time-periodic force with constant amplitude [18][19][20][21][22][23]. In contrast, in order to monitor the system's adiabatic or nonadiabatic responses to forcing pulses, and thus to draw the parallels to the microwave ionisation experiments reviewed in Sec.…”