Josephson tunneling between weakly interacting Bose-Einstein condensates

Meier, Florian; Zwerger, W.

doi:10.1103/physreva.64.033610

Cited by 93 publications

(140 citation statements)

References 39 publications

Supporting

Mentioning

134

Contrasting

Order By: Relevance

“…5 It will be interesting to study the excitations of the condensates at finite temperature in the double-well potential, and to discuss the relation between the damping of the collective oscillation and the anomalous tunneling of the Bogoliubov excitations.…”

Section: Discussionmentioning

confidence: 99%

“…Using the two mode approximation, various types of the Josephson-like dynamics have been predicted, which include Josephson plasma oscillation and nonlinear self-trapping. [4][5][6] Recently, the Josephson plasma oscillation and the nonlinear self-trapping have been observed by Albiez et al in a condensate of atomic gases trapped in a double-well potential. 8 Because of the high tunability of system parameters, such a system provides an ideal stage for observing the Josephson-like dynamics.…”

Section: Introductionmentioning

confidence: 99%

See 1 more Smart Citation

Collective Excitations of Bose–Einstein Condensates in a Double-Well Potential

et al. 2005

View full text Add to dashboard Cite

show abstract

Section: Discussionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Collective Excitations of Bose–Einstein Condensates in a Double-Well Potential

et al. 2005

View full text Add to dashboard Cite

show abstract

“…Bose-Einstein condensates in double well potentials display a wide variety of important phenomena, ranging from interference of two condensates released from a double well trap [1] and the relative phase of two condensates [2] over the Josephson effect [3,4,5,6] to parametric resonance [7]. In this paper, we demonstrate that the tunneling effect between the two condensates can systematically be manipulated by an appropriate timedependent variation of the double well potential.…”

mentioning

confidence: 99%

Coherent control of mesoscopic tunneling in a Bose-Einstein condensate

Weiß

Jinasundera

2005

Phys. Rev. A

View full text Add to dashboard Cite

For a weakly interacting Bose-Einstein condensate in a double well, an appropriate time-dependent modulation of the trapping potential counter-acts the "self-trapping" effects of the interactions, thereby allowing tunneling between the wells. It is demonstrated numerically that this modulation can be employed for transferring the condensate from one well to the other in a controlled way. Moreover it allows the production of mesoscopic entangled states on short time scales.

show abstract

“…We find that 3 out of 6 Lyapunov exponents are positive, indicating chaotic behavior. We note that the Ohmic nature of the dissipative term is only justifed at high temperatures [12] or at low temperatures if each condensate lives in a large box [13].…”

mentioning

confidence: 99%

Vortex trapping in suddenly connected Josephson junctions of Bose-Einstein condensates

Ghosh

Sols

2008

Phys. Rev. A

View full text Add to dashboard Cite

We investigate the problem of vortex trapping in cyclically coupled Bose-Josephson junctions. Starting with N independent BECs we couple the condensates through Josephson links and allow the system to reach a stable circulation by adding a dissipative term in our semiclassical equations of motion. The central question we address is what is the probability to trap a vortex with winding number m. Our numerical simulations reveal that the final distribution of winding numbers is narrower than the initial distribution of total phases, indicating an increased probability for novortex configurations. Further, the nonlinearity of the problem manifests itself in the somewhat counter-intuitive result that it is possible to obtain a non-zero circulation starting with zero total phase around the loop. The final width of the distribution of winding numbers for N sites scales as λN α , where α = 0.47 ± 0.01 and λ < 0.67 (value predicted for the initial distribution) indicating a shrinking of the final distribution. The actual value of λ is found to depend on the strength of dissipation.PACS numbers: 03.75. Kk, 03.75.Lm, In the past few years, experiments on annular Josephson tunnel junctions in superconductors [1,2] and BoseEinstein condensates [3,4] have tried to address the role of non-adiabaticity in the spontaneous production of topological defects, a question that has bearing on earlyuniverse cosmology [5,6,7,8]. While a first type of experiments [2] have used a temperature quench through a second-order phase transition from a normal to a superconducting phase, a second type [3,4] uses interference between initially independent condensates as a mechanism to trap vortices. In the case of superconductors the Kibble-Zurek scaling law [6] relating the probability to trap vortices to the quench rate has been tested. Experiments connecting the independent BECs have similarly tried to test the role of the merging rate in determining the probability for observing vortices in the final BEC. Motivated by these experiments we have studied numerically the related problem of a ring-shaped BoseJosephson junction array. We would like to stress that, while there are similarities between our initial conditions and those of the aforementioned experiments, there are also qualitative differences that will be discussed later. Nevertheless, it is quite conceivable that our findings here can be tested in future experiments with ultra-cold atomic gases [9].The problem we study here is that of N independent Bose-Einstein condensates which upon sudden connection become arranged on a ring of weakly coupled condensates. We assume r ≤ ξ 0 , where r is the single condensate radius and ξ 0 is the zero-temperature healing length. This condition ensures that no vortices form within the individual condensates, leaving us only with vortices caused by the phase variation along the ring. At t = 0, simultaneous Josephson contacts are made between each adjacent pair of condensates. As shown in Ref. [10] for the case of two initially independent condensates, ...

show abstract

Josephson tunneling between weakly interacting Bose-Einstein condensates

Cited by 93 publications

References 39 publications

Collective Excitations of Bose–Einstein Condensates in a Double-Well Potential

Collective Excitations of Bose–Einstein Condensates in a Double-Well Potential

Coherent control of mesoscopic tunneling in a Bose-Einstein condensate

Vortex trapping in suddenly connected Josephson junctions of Bose-Einstein condensates

Contact Info

Product

Resources

About