Effect of Rashba spin-orbit and Rabi couplings on the excitation spectrum of binary Bose-Einstein condensates

Ravisankar, Rajamanickam; Fabrelli, H.; Gammal, A.; Muruganandam, Paulsamy; Mishra, Pankaj Kumar

doi:10.1103/physreva.104.053315

Cited by 20 publications

(16 citation statements)

References 72 publications

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“…When we discuss the multi-particle system, it is necessary to analyze the single-particle energy spectrum, which is the relationship between the momentum and energy of a single particle [47]. It can be obtained by solving the eigenvalues of single-particle Hamiltonian or the PW solutions of linear Schrödinger equations.…”

Section: Single-particle Energy Spectrummentioning

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.

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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.

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Section: Single-particle Energy Spectrummentioning

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.

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“…In one-dimensional systems, the phonon instability gives rise to the formation of bright matter wave solitons [3][4][5]; while in two-dimensional and three-dimensional systems, it results in the collapse of the condensate [6][7][8][9][10]. When the long-range interaction or spin-orbit coupling (SOC) effect is introduced into the system, the collective excitation spectrum of BECs can exhibit a phonon-maxon-roton structure [11][12][13][14][15][16][17][18][19][20][21][22][23][24][25]. Besides the phonon instability [26], there also emerges a roton instability, which can lead to the formation of supersolid states [27][28][29][30].…”

Section: Introductionmentioning

confidence: 99%

Phonon and maxon instability in Bose–Einstein condensates with parity-time symmetric spin–orbit coupling

Qin,

Zhou,

Dong

2023

New J. Phys.

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Parity-time ( P T ) symmetry has drawn great research interest in non-Hermitian physics. Recently, there is an emerging model of P T -symmetric spin–orbit coupling (SOC) which could be realized with spin-1/2 atomic Bose–Einstein condensates (BECs) when the two spin components are respectively subjected to momentum-dependent gain and loss (Qin et al 2022 New J. Phys. 24 063025). In this model, inter-atom interaction has no influence on the P T -symmetric plane waves. Thus, collective excitation playing the role of fingerprint of inter-atom interaction is investigated in this paper. For the phonon excitation, it is shown that the repulsive interaction between atoms in different spin states, which tends to drive the atoms to populate in only one spin component, can break the P T -symmetry, and leads to a phonon instability. Whereas, for the case of the phonon-maxon-roton collective excitation spectrum, the repulsive interaction between atoms in different spin states can lead to a maxon instability, which does not occur in Hermitian BEC systems (dipolar BECs or BECs with Raman induced SOC). Simulation of the time evolution of the plane wave solution against small noise shows that the maxon instability can result in the formation of a supersolid-like stripe pattern at the initial stage, but the non-Hermitian nature of the system finally destroys the pattern. The phase diagram of stability shows that the Rabi coupling and repulsive interaction between the atoms in the same spin state can stabilize the system.

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“…Email: linji@zjnu.edu.cn with SOC, with less attention paid to the existence and stability of bright solitons. There are some systematic studies on spin-1/2 BEC systems with SOC [39,40,44], but not on spin-1 BEC systems with SOC. Additionally, the mean-field ground state of a spin-1 BEC with SOC and ferromagnetic (antiferromagnetic) interaction favors a PW (SW) soliton [8,10].…”

Section: Introductionmentioning

confidence: 99%

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

He¹,

Fang²,

Lin³

2022

Chinese Phys. Lett.

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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.

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Effect of Rashba spin-orbit and Rabi couplings on the excitation spectrum of binary Bose-Einstein condensates

Cited by 20 publications

References 72 publications

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

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

Phonon and maxon instability in Bose–Einstein condensates with parity-time symmetric spin–orbit coupling

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

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