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Physica Scripta

Quantum tunneling dynamics with robust reciprocity of Bose-Einstein condensate in a quadruple-well potential with synthetic gauge fields

Lin Wang, Kewen Xiao, Wen-Yuan Wang, Fu-Quan Dou

Published Nov 11, 2022• 3 citations
Publisher

Abstract

Abstract Bose-Einstein condensation (BEC) trapped in quadruple-well potential with complex coupling provides a great useful platform in theoretical and experimental researches. Utilizing analytical and numerical methods, we investigate tunneling dynamics and the reciprocity of quantum transport of BEC in quadruple-well potential formed by the laser-assisted transition. According to the investigation, the tunneling dynamics of BEC in this system is independent of dissipation and complex coupling between wells caused by Raman coupling laser. By adjusting the coupling phase, the coherent destruction of tunneling can be observed. Meanwhile, this system provides an applicable proposal for reciprocal quantum switch by using the tunneling dynamics of BEC.

DOI
10.1088/1402-4896/aca22a

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Abstract Bose-Einstein condensation (BEC) trapped in quadruple-well potential with complex coupling provides a great useful platform in theoretical and experimental researches. Utilizing analytical and numerical methods, we investigate tunneling dynamics and the reciprocity of quantum transport of BEC in quadruple-well potential formed by the laser-assisted transition. According to the investigation, the tunneling dynamics of BEC in this system is independent of dissipation and complex coupling between wells caused by Raman coupling laser. By adjusting the coupling phase, the coherent destruction of tunneling can be observed. Meanwhile, this system provides an applicable proposal for reciprocal quantum switch by using the tunneling dynamics of BEC.
We investigate the cyclotron dynamics of Bose-Einstein condensate (BEC) in a quadruple-well potential with synthetic gauge fields. We use laser-assisted tunneling to generate large tunable effective magnetic fields for BEC. The mean position of BEC follows an orbit that simulated the cyclotron orbits of charged particles in a magnetic field. In the absence of atomic interaction, atom dynamics may exhibit periodic or quasi-periodic cyclotron orbits. In the presence of atomic interaction, the system may exhibit self-trapping, which depends on synthetic gauge fields and atomic interaction strength. In particular, the competition between synthetic gauge fields and atomic interaction leads to the generation of several discontinuous parameter windows for the transition to self-trapping, which is obviously different from that without synthetic gauge fields.
Abstract By introducing two opposing driving fields with a reduced electric field strength, we successfully achieve quantum non-reciprocal transport of ultracold atoms confined within a quadruple-well system that incorporates a synthetic gauge field. This achievement not only disrupts the inherent robustness of reciprocal transport in such systems but also underscores the indispensability of coherent drives in facilitating quantum non-reciprocal transport, irrespective of the presence or absence of dissipation. In the absence of dissipation, the interplay between the synthetic gauge field and the driving fields endows the system with the capacity for non-reciprocal transport of ultracold atoms. This finding highlights the significance of unequal reduced field strengths in the genesis of nonreciprocal quantum transport, with the synergistic effects of the synthetic gauge field and coherent drives dictating both the magnitude and direction of the nonreciprocal transport. In the presence of dissipation, although the population and tunneling probability of ultracold atoms are diminished, the non-reciprocity of the system can be amplified by the driving fields and the artificial gauge field. This amplification results in an enhancement of non-reciprocity, allowing for the generation of strong unidirectional non-reciprocal windows through the modulation of the combined effects of dissipation, coherent drives, and the synthetic gauge field. Our findings provide a valuable reference for the development of quantum non-reciprocal routers within ultracold atoms, offering insights into the control and manipulation of quantum transport phenomena.
We develop a five-well model for describing the tunnelling dynamics of Bose-Einstein condensates (BECs) trapped in 2D optical lattices. The tunnelling dynamics of BECs in this five-well model are investigated both analytically and numerically. We focus on the self-trapped states and the difference of the tunnelling dynamics among two-well, three-well and five-well systems. The criterions for the self-trapped states and the phase diagrams of the five trapped BECs in zero-phase mode and π-phase mode are obtained. We find that the criterions and the phase diagrams are largely modified by the dimension of the system and the phase difference between wells. The five-well model is a good model and can give us an insight into the tunnelling dynamics of BECs trapped in 2D optical lattices.
Josephson effect of Bose-Einstein condensate in double-well potential is an obvious manifestation of macroscopic quantum coherence. Most of researches focus on the symmetric double-well potential. In this work, we investigate the dynamic of Bose-Einstein condensates in an asymmetric double-well potential by using two-mode theory and computer simulation. In the absence of the interaction between atoms, the dynamic equation of condensate can be solved analytically. The amplitude as a function of energy difference of two wells is obtained. We can find that the change of energy difference will lead to the different dynamic behaviors of condensate. If the energy difference is relatively large, the condensate will primarily occupy the well that is occupied more than the other well at the beginning time. It is interesting that such a trap phenomenon is not dependent on the position of the high energy potential well nor the position of low energy potential well. If the energy difference becomes small, the tunneling and oscillation of condensate will be enhanced. When the interaction between atoms is present, our numerical calculations show that as the nonlinear interaction increases, the dynamic behavior of condensate exhibits different characteristics, such as trapping in a well, enhancing the tunneling and oscillation between two wells, and enhancing the trapping in a well at large nonlinear interaction, which is similar to the dynamic change caused by the energy difference in the case of ideal condensate. That is to say, on the one hand, the nonlinear interaction can lead to the trap of condensate as well as the dynamic trap to happen in symmetric double-well potential. On the other hand, the nonlinearity can promote the tunneling of condensate, counteracting the effect of the asymmetry of potential. And, this counteracting effect is related to the difference in energy between asymmetric potential wells. To understand the underlying mechanism, the full dynamic behavior of two-mode model is illustrated and the dynamic transition can be seen clearly. Combining the results obtained with and without interaction, regarding nonlinear interaction as effective potential provides a clear way to explain dynamic transition of condensate in an asymmetric double-well potential. In addition, we also perform the numerical simulations of the Gross-Pitaevskii equation, and the results are consistent with the conclusions obtained by using the two-mode theory.
In this paper, we study the interaction-modulated tunneling dynamics of a Bose-Fermi superfluid mixture, where a Bose-Einstein condensate (BEC) with weak repulsive interaction is confined in a symmetric deep double-well potential and an equally populated two-component Fermi gas in a harmonic potential symmetrically is positioned in the center of the double-well potential. The tunneling between the two wells is modulated by fermions trapped in a harmonic potential. When the temperature is adequately low and the bosonic particle number is adequately large, we can employ the mean-field theory to describe the evolution of the BEC in the double-well potential through the time-dependent Gross-Pitaevskii equation. For the Fermi gas in the harmonic potential trap, we consider the case where the inter-fermion interaction is tuned on the deep Bose-Einstein condensate of the inter-fermion Feshbach resonance, where two fermions of spin-up and spin-down form a two-body bound state. Within the regime, the Fermi gas is well described by a condensate of these fermionic dimers, and hence can be simulated as well by a Gross-Pitaevskii equation of dimers. The inter-species interactions couple the dynamics of the two species, which results in interesting features in the tunneling oscillations. The dynamic equations of the BEC in the double-well potential is described by a two-mode approximation. Coupling it with time-dependent Gross-Pitaevskii equation of the harmonically potential trapped molecular BEC, we numerically investigate the dynamical evolution of the Boson-Fermi hybrid system under different initial conditions. It is found that the interaction among fermions in a harmonic potential leads to strong non-linearity in the oscillations of the bosons in the double-well potential and enriches the tunneling dynamics of the bosons. Especially, it strengthens macroscopic quantum self-trapping. And the macroscopic quantum self-trapping can be expressed in three forms: the phase tends to be negative and monotonically decreases with time, the phase evolves with time, and the phase tends to be positive and increases monotonically with time. This means that it is possible the tunneling dynamics of the BEC in double-well potential is adjustable. Our results can be verified experimentally in a Bose-Fermi superfluid mixture by varying different interaction parameters via Feshbach resonance and confinement-induced resonance.