Josephson dynamics of a spin-orbit-coupled Bose-Einstein condensate in a double-well potential

Zhang, Dan‐Wei; Fu, Libin; Wang, Z. D.; Zhu, Shi-Liang

doi:10.1103/physreva.85.043609

Cited by 67 publications

(47 citation statements)

References 69 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…The most famous example of this is the existence of a stripe phase that is an equal superposition of two minima in momentum space [40]. The ground state and collective excitations of SOC BECs have been investigated for a large number of different settings, such as homogeneous [40][41][42][43][44][45][46][47][48][49], harmonic [50][51][52][53][54], in the presence of a periodic optical lattice [55][56][57][58][59][60][61][62][63][64][65][66][67][68][69][70][71][72], a double-well [73][74][75], rotation [76][77][78][79][80][81], inside an optical cavity [82][83][84][85][86], and for particles with dipolar interaction …”

Section: Introductionmentioning

confidence: 99%

Properties of spin–orbit-coupled Bose–Einstein condensates

et al. 2016

View full text Add to dashboard Cite

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.

show abstract

Section: Introductionmentioning

confidence: 99%

Properties of spin–orbit-coupled Bose–Einstein condensates

et al. 2016

View full text Add to dashboard Cite

show abstract

“…Here, the dynamics in the double well can be switched between the oscillatory and the self-trapping regime, which may be used as an effective interaction-controlling parameter (e.g., when Feshbach resonances are inaccessible). While we have confined ourselves to the comparison of situations with constant species population, driving a system via breaking and restoring its phase coherence may allow for further control [59].…”

Section: Discussionmentioning

confidence: 99%

Dynamical effects of exchange symmetry breaking in mixtures of interacting bosons

2012

View full text Add to dashboard Cite

In a double-well potential, a Bose-Einstein condensate exhibits Josephson oscillations or self-trapping, depending on its initial preparation and on the ratio of interparticle interaction to interwell tunneling. Here, we elucidate the role of the exchange symmetry for the dynamics with a mixture of two distinguishable species with identical physical properties, that is, which are governed by an isospecific interaction and external potential. In the mean-field limit, the spatial population imbalance of the mixture can be described by the dynamics of a single species in an effective potential with modified properties or, equivalently, with an effective total particle number. The oscillation behavior can be tuned by populating the second species while maintaining the spatial population imbalance and all other parameters constant. In the corresponding many-body approach, the single-species description approximates the full counting statistics well also outside the realm of spin-coherent states. The method is extended to general Bose-Hubbard systems and to their classical mean-field limits, which suggests an effective single-species description of multicomponent Bose gases with weakly an-isospecific interactions.

show abstract

“…By using a Peierls substitution, one can get the effective SO-coupling strength γ = k L /k 1 [35], which can be controlled by adjusting the angle between the Raman beams [19], where k 1 is the wave vector of the lattice creating the double-well potential. According to the conditions given above, the system can be described by a two-mode Bose-Hubbard mode [19,[35][36][37][38]:…”

Section: Modelmentioning

confidence: 99%

“…whereâ j = (â j ↑ ,â j ↓ ) T andâ † jσ (â jσ ) creates (annihilates) a spin σ (σ = ↑,↓) boson in the j th (j = l,r) well, n jσ =â † jσâ jσ denotes the number operator for spin σ in site j , v is the tunneling constant without SO coupling, γ is the effective SO-coupling strength, which results in the spin-flipping tunneling,σ y are the 2 × 2 Pauli matrices, U σ σ = √ 2 a σ σ /( √ πml 2 ⊥ l 0 ) is the effective bosons interaction strength with a σ σ being the s-wave scattering length between spin σ and σ , l ⊥ being the oscillator length associated with a vertical harmonic confinement, and l 0 being the oscillator length of the double-well potential [36], is the effective Zeeman-field intensity, d is the distance between the two wells, and F (t) = F 0 cos(ωt) is a periodic external driving force with amplitude F 0 and frequency ω. In experiments, the external driving force can be generated by changing the power of the lasers for creating the double-well potential with identical amplitude but with opposite phase [39].…”

Section: Modelmentioning

confidence: 99%

See 1 more Smart Citation

Selective coherent spin transportation in a spin-orbit-coupled bosonic junction

Xue

2014

Phys. Rev. A

View full text Add to dashboard Cite

We propose a theoretical scheme for realizing selective coherent spin transportation in a spin-orbit-coupled bosonic gas trapped in a symmetric double well by fast modulation of the energy-level unbalance between the two wells. The modulation can be tuned in such a way that an arbitrarily, a priori prescribed spin type (single spin or a spin pair with opposite spins) and the number of these spin bosons with or without spin flipping are allowed to tunnel. Furthermore, prescribed superexchange of spin bosons (where only pure spin exchange is allowed between the two wells and the atom number in each well is not changed) is also presented. The resonance conditions of realizing this selective coherent spin transportation are obtained analytically and confirmed numerically. This engineering provides a possible means for spin control and accurate counting or efficient filtering of the number of spins.

show abstract

Josephson dynamics of a spin-orbit-coupled Bose-Einstein condensate in a double-well potential

Cited by 67 publications

References 69 publications

Properties of spin–orbit-coupled Bose–Einstein condensates

Properties of spin–orbit-coupled Bose–Einstein condensates

Dynamical effects of exchange symmetry breaking in mixtures of interacting bosons

Selective coherent spin transportation in a spin-orbit-coupled bosonic junction

Contact Info

Product

Resources

About