Stationary and moving solitons in spin–orbit-coupled spin-1 Bose–Einstein condensates

Li, Yue; Xue, Ju-Kui

doi:10.1007/s11467-017-0732-4

Cited by 12 publications

(5 citation statements)

References 42 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…By comparing with SOC bright soliton in Refs. [44][45][46], we conclude that the difference between STMC and SOC bright solitons originates from the different symmetry relevant to spin rotation.…”

Section: Introductionmentioning

confidence: 79%

Bright solitons in a spin-tensor-momentum-coupled Bose-Einstein condensate

Sun,

Chen,

Chen

et al. 2020

Preprint

View full text Add to dashboard Cite

Synthetic spin-tensor-momentum coupling has recently been proposed to realize in atomic Bose-Einstein condensates. Here we study bright solitons in Bose-Einstein condensates with spintensor-momentum coupling and spin-orbit coupling. The properties and dynamics of spin-tensormomentum-coupled and spin-orbit-coupled bright solitons are identified to be different. We contribute the difference to the different symmetries.

show abstract

Section: Introductionmentioning

confidence: 79%

Bright solitons in a spin-tensor-momentum-coupled Bose-Einstein condensate

Sun,

Chen,

Chen

et al. 2020

Preprint

View full text Add to dashboard Cite

show abstract

“…The relevant research about spin-1 BECs with SOC mainly focuses on the situation without the Zeeman effect [40][41][42][43][44]. When the Zeeman effect is present, stationary and moving bright solitons in spin-1 BECs with SOC have not been systematically explored [45], especially SW bright solitons. As we know, the mean-field ground state of a spin-1 BEC with SOC favors a PW (SW) bright soliton for the ferromagnetic (antiferromagnetic) interaction [7,8].…”

Section: Introductionmentioning

confidence: 99%

Stationary and moving bright solitons in Bose–Einstein condensates with spin–orbit coupling in a Zeeman field

He,

Lin

2023

New J. Phys.

View full text Add to dashboard Cite

We explore the existence and stability domains of stationary and moving bright solitons in spin–orbit-coupled spin-1 Bose–Einstein condensates in an external Zeeman field. Two families of bell-shape bright solitons (plane-wave (PW) phases) and two families of stripe-shape bright solitons (standing-wave (SW) phases) are obtained. We find a relation between the existence of these bright solitons and the single-particle energy spectrum, as well as the requirements of their existence for atomic interactions. The stability of four families of bright solitons is systematically analyzed using the linear stability analysis method. For two families of PW bright solitons, they are unstable only when the strength of the Zeeman field is above a critical value. The critical value is affected by the spin–orbit coupling and hardly affected by atomic interactions. When the velocities of solitons are zero (nonzero), the critical values of these two families are equal (unequal). For two families of SW bright solitons, their stability domains are identical in the absence of the Zeeman field, and they are unstable when the ferromagnetic interaction is strong. In the presence of the Zeeman field, their stability domains are complementary and complex, and one family of SW bright solitons can exist stably in the area with stronger ferromagnetic interaction. Furthermore, we find the collisions of stable bright solitons with different velocities can generate intriguing dynamics.

show abstract

“…When the Zeeman effect and Raman coupling are not considered, there is a large amount of research on PW and SW bright solitons in spinor BECs with SOC [26][27][28][29][30][31][32]. However, considering the Zeeman effect or Raman coupling, the research mainly focuses on PW bright solitons in different spinor BECs with SOC [33][34][35][36], and SW bright solitons in spin-1/2 BECs with SOC [37][38][39][40][41]. SW bright solitons in spin-1 BECs with SOC have not been systematically explored in the presence of Zeeman field, which enriches the magnetic behaviors of the system [42,43].…”

Section: Introductionmentioning

confidence: 99%

“…[26,27] Especially, the solutions can only be obtained by multiscale expansion method when considering Raman cou-pling and Zeeman effect. [28,29] It is undeniable that the exact solutions can explicitly describe the relation between various physical parameters. Consequently, exploring more exact analytical soliton solutions in spin-1 BECs is crucial.…”

mentioning

confidence: 99%

Multi-Type Solitons in Spin-Orbit Coupled Spin-1 Bose–Einstein Condensates

He¹,

Fang²,

Lin³

2022

Chinese Phys. Lett.

View full text Add to dashboard Cite

Recently, research of solitons in Bose–Einstein condensates has become a popular topic. Here, we mainly study exact analytical solutions of Gross–Pitaevskii equations describing spin-orbit coupled spin-1 Bose–Einstein condensates. To begin with, we show the analytical relation between different types of one-dimensional spin-orbit coupling and Zeeman effect. In addition, we find a transformation that can simplify the three-component Gross–Pitaevskii equations with spin-orbit coupling into the nonlinear Schrödinger equation. The abundant stripe phase and dynamic characteristics of the system are investigated.

show abstract

Stationary and moving solitons in spin–orbit-coupled spin-1 Bose–Einstein condensates

Cited by 12 publications

References 42 publications

Bright solitons in a spin-tensor-momentum-coupled Bose-Einstein condensate

Bright solitons in a spin-tensor-momentum-coupled Bose-Einstein condensate

Stationary and moving bright solitons in Bose–Einstein condensates with spin–orbit coupling in a Zeeman field

Multi-Type Solitons in Spin-Orbit Coupled Spin-1 Bose–Einstein Condensates

Contact Info

Product

Resources

About