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Results in Physics

The population transfer and superflow associated with the spatiotemporal Bloch states for a high-frequency driven spin–orbit coupled Bose–Einstein condensate

Haiming Deng, Tianzhe Wan, Yichen He, Tao Han, Jian‐Quan Huang, Shufang Ding, Yalan Li, Dajun Lei, Chunzhi Jiang, Min Yao, Hao Chen, Chao Kong

Published Oct 25, 2021• 5 citations
Publisher

Abstract

In this paper, we give the normal and abnormal Bloch states at the Brillouin zone edge to a spin–orbit (SO) coupled Bose–Einstein condensate (BEC) with a high-frequency driving and confined in a periodic lattice. The generation of the spatiotemporal Bloch states and the associated the population transfer and the superflow are studied. We find that Rabi coupling strength can enhance or reduce the population transfer between two BEC components for the obtained Bloch states. In addition, we can realize the transition between superfluid state and critical balance state by adjusting system parameters, which could be helpful to the quantum transport of the SO coupled cold-atom system.

DOI
10.1016/j.rinp.2021.104926

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In this paper, we give the normal and abnormal Bloch states at the Brillouin zone edge to a spin–orbit (SO) coupled Bose–Einstein condensate (BEC) with a high-frequency driving and confined in a periodic lattice. The generation of the spatiotemporal Bloch states and the associated the population transfer and the superflow are studied. We find that Rabi coupling strength can enhance or reduce the population transfer between two BEC components for the obtained Bloch states. In addition, we can realize the transition between superfluid state and critical balance state by adjusting system parameters, which could be helpful to the quantum transport of the SO coupled cold-atom system.
Abstract We study the spatiotemporal Bloch states of a high-frequency driven two-component Bose–Einstein condensate (BEC) with spin–orbit coupling (SOC) in an optical lattice. By adopting the rotating-wave approximation (RWA) and applying an exact trial-solution to the corresponding quasistationary system, we establish a different method for tuning SOC via external field such that the existence conditions of the exact particular solutions are fitted. Several novel features related to the exact states are demonstrated; for example, SOC leads to spin–motion entanglement for the spatiotemporal Bloch states, SOC increases the population imbalance of the two-component BEC, and SOC can be applied to manipulate the stable atomic flow which is conducive to control quantum transport of the BEC for different application purposes.
In this paper we show that for sufficiently strong atomic interactions, there exist analytical solutions of current-carrying nonlinear Bloch states at the Brillouin zone edge to the model of spin-orbit-coupled Bose-Einstein condensates (BECs) with symmetric spin interaction loaded into optical lattices. These simple but generic exact solutions provide an analytical demonstration of some intriguing properties which have neither an analog in the regular BEC lattice systems nor in the uniform spin-orbit-coupled BEC systems. It is an analytical example for understanding the superfluid and other related properties of the spin-orbit-coupled BEC lattice systems.
In this paper, we have investigated the stability and population oscillations in a spin–orbit coupled Bose–Einstein condensate. For the time-independent system parameters, the stability of the steady-state solutions was analyzed with the linear stability theorem. For the asymmetric case, we demonstrated that a larger relative energy can enhance macroscopic quantum self-trapping. A larger relative energy or a stronger population transfer strength can assist or suppress the tunneling rate, depending on the initial population. Finally, the chaotic parameter regions and the chaotic atomic tunneling between two periodically driven Bose–Einstein condensates have been investigated. The results reveal that chaos can notably enhance the tunneling rate. The results could be significant in the quantum transport of the spin–orbit coupled cold-atom system.
We theoretically study the ground-state phases and superfluidity of tunable spin-orbit-coupled Bose-Einstein condensates (BECs) under the periodic driving of Raman coupling. An effective time-independent Floquet Hamiltonian is proposed by using a high-frequency approximation, and we find single-particle dispersion, spin-orbit-coupling, and asymmetrical nonlinear two-body interaction can be modulated effectively by the periodic driving. The critical Raman coupling characterizing the phase transition and relevant physical quantities in three different phases (the stripe phase, plane-wave phase, and zero momentum phase) are obtained analytically. Our results indicate that the boundary of ground-state phases can be controlled and the system will undergo three different phase transitions by adjusting the external driving. Interestingly, we find the contrast of the stripe density can be enhanced by the periodic driving in the stripe phase. We also study the superfluidity of tunable spin-orbit-coupled BECs and find the dynamical instability can be tuned by the periodic driving of Raman coupling. Furthermore, the sound velocity of the ground-state and superfluidity state can be controlled effectively by tuning the periodic driving strength. Our results indicate that the periodic driving of Raman coupling provides a powerful tool to manipulate the ground-state phase transition and dynamical instability of spin-orbit-coupled BECs.
Since the first experimental realization of Bose-Einstein condensates in a spin-orbit-coupled Zeeman lattice, a wide range of applications have been found in these systems. Here, we systematically study the ground-state phase diagram of the systems. The spin-orbit-coupled Zeeman lattice generates multiple energy minima in the lowest Bloch band. These minima may locate at Brillouin-zone edges and center, or inside the Brillouin zone. Interacting atoms condensing into these minima constitute ground-state quantum phases. Among these phases, the band-edge condensation states have no analog in either spin-orbit-coupled homogeneous systems or lattice systems without the spin-orbit coupling. They exist in a very broad parameter regime of the spin-orbit-coupled Zeeman lattice system. We address superfluidity of the band-edge states by analyzing their elementary excitations and superfluid fraction.
Recently spin-orbit (SO)-coupled superfluids in free space or harmonic traps have been extensively studied, motivated by the recent experimental realization of SO coupling for Bose-Einstein condensates (BEC). However, the rich physics of SO-coupled BEC in optical lattices has been largely unexplored. In this paper, we show that in a suitable parameter region the lowest Bloch state forms an isolated flat band in a one-dimensional SO-coupled optical lattice, which thus provides an experimentally feasible platform for exploring the recently celebrated topological flatband physics in lattice systems. We show that the flat band is preserved even with the mean-field interaction in BEC. We investigate the superfluidity of the BEC in SO-coupled lattices through dynamical and Landau stability analysis, and show that the BEC is stable on the whole flat band.