Dynamical generation of dark solitons in spin-orbit-coupled Bose–Einstein condensates

Cao, Shuai; Shan, Chuan-Jia; Zhang, Dan‐Wei; Qin, Xizhou; Xu, Jing‐Bo

doi:10.1364/josab.32.000201

Cited by 29 publications

(20 citation statements)

References 77 publications

(126 reference statements)

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“…[140][141][142][143][144][145]. The unique and distinguished dynamical feature of these systems is the coupling between the spin dynamics and motional degrees of freedom (such as center-of-mass motion).…”

Section: Collective Dynamics: Zitterbewegungmentioning

confidence: 99%

Properties of spin–orbit-coupled Bose–Einstein condensates

et al. 2016

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The experimental and theoretical research of spin-orbit-coupled ultracold atomic gases has advanced and expanded rapidly in recent years. Here, we review some of the progress that either was pioneered by our own work, has helped to lay the foundation, or has developed new and relevant techniques. After examining the experimental accessibility of all relevant spin-orbit coupling parameters, we discuss the fundamental properties and general applications of spin-orbit-coupled Bose-Einstein condensates (BECs) over a wide range of physical situations. For the harmonically trapped case, we show that the ground state phase transition is a Dicke-type process and that spin-orbit-coupled BECs provide a unique platform to simulate and study the Dicke model and Dicke phase transitions. For a homogeneous BEC, we discuss the collective excitations, which have been observed experimentally using Bragg spectroscopy. They feature a roton-like minimum, the softening of which provides a potential mechanism to understand the ground state phase transition. On the other hand, if the collective dynamics are excited by a sudden quenching of the spin-orbit coupling parameters, we show that the resulting collective dynamics can be related to the famous Zitterbewegung in the relativistic realm. Finally, we discuss the case of a BEC loaded into a periodic optical potential. Here, the spin-orbit coupling generates isolated flat bands within the lowest Bloch bands whereas the nonlinearity of the system leads to dynamical instabilities of these Bloch waves. The experimental verification of this instability illustrates the lack of Galilean invariance in the system.

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Section: Collective Dynamics: Zitterbewegungmentioning

confidence: 99%

Properties of spin–orbit-coupled Bose–Einstein condensates

et al. 2016

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“…Recently such variation has been used in numerical simulations for dark soliton generations in BEC with SOC [32]. The transition of a soliton solution obtained in region II (striped soliton) to the region I (regular soliton), and back from region I to region II, is illustrated in Fig.…”

Section: A Linear Energy Spectrummentioning

confidence: 99%

Solitons and Josephson-type oscillations in Bose-Einstein condensates with spin-orbit coupling and time-varying Raman frequency

et al. 2018

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The existence and dynamics of solitons in quasi-one-dimensional Bose-Einstein condensates (BEC) with spin-orbit coupling (SOC) and attractive two-body interactions are described for two coupled atomic pseudo-spin components with slowly and rapidly varying time-dependent Raman frequency. By varying the Raman frequency linearly in time, it was shown that ordinary nonlinear Schrödingertype bright solitons can be converted to striped bright solitons and vice versa. The internal Josephson oscillations between atom-number of the coupled soliton components, and the corresponding center-of-mass motion, are studied for different parameter configurations. In this case, a mechanism to control the soliton parameters is proposed by considering parametric resonances, which can emerge when using time-varying Raman frequencies. Full numerical simulations confirm variational analysis predictions when applied to the region where regular solitons are expected. In the limit of high frequencies, the system is described by a time-averaged Gross-Pitaevskii formalism with renormalized nonlinear and SOC parameters and modified phase-dependent nonlinearities. By comparing full-numerical simulations with averaged results, we have also studied the lower limits for the frequency of Raman oscillations in order to obtain stable soliton solutions.

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“…In the case of the repulsive nonlinearity, the use of spatially periodic optical-lattice (OL) potentials has made it possible to predict 1D gap solitons [22,23,25]. Otherwise, the interplay of SOC with self-repulsion gives rise to families of dark solitons [26]- [30].…”

Section: Introductionmentioning

confidence: 99%

Dragging spin-orbit-coupled solitons by a moving optical lattice

Sakaguchi,

Hirano,

Malomed

2021

Preprint

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It is known that the interplay of the spin-orbit-coupling (SOC) and mean-field self-attraction creates stable two-dimensional (2D) solitons (ground states) in spinor Bose-Einstein condensates. However, SOC destroys the system's Galilean invariance, therefore moving solitons exist only in a narrow interval of velocities, outside of which the solitons suffer delocalization. We demonstrate that the application of a relatively weak moving optical lattice (OL), with the 2D or quasi-1D structure, makes it possible to greatly expand the velocity interval for stable motion of the solitons. The stability domain in the system's parameter space is identified by means of numerical methods. In particular, the quasi-1D OL produces a stronger stabilizing effect than its full 2D counterpart. Some features of the domain are explained analytically.

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Dynamical generation of dark solitons in spin-orbit-coupled Bose–Einstein condensates

Cited by 29 publications

References 77 publications

Properties of spin–orbit-coupled Bose–Einstein condensates

Properties of spin–orbit-coupled Bose–Einstein condensates

Solitons and Josephson-type oscillations in Bose-Einstein condensates with spin-orbit coupling and time-varying Raman frequency

Dragging spin-orbit-coupled solitons by a moving optical lattice

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