Many-body effects on second-order phase transitions in spinor Bose-Einstein condensates and breathing dynamics

Mittal, K. M.; Mistakidis, S. I.; Schmelcher, Peter

doi:10.1103/physreva.102.013302

Cited by 11 publications

(5 citation statements)

References 88 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…1(a). As it has been recently demonstrated [36][37][38] different phases can be realized for such a confined spin-1 system. They stem from the interplay between the sign of the spin-dependent interaction coefficient c 1 and the strength of the quadratic Zeeman term q.…”

Section: A Ground State Phase Diagrammentioning

confidence: 86%

“…F = 1 spinor BECs offer the possibility for studying not only regular solitons but also magnetic ones and admixtures thereof. In particular, owing to the far richer phase diagram exhibited by such gases [36] (see, also, [37] for a recent discussion and [38] for the impact of many-body effects) already several works have been devoted in studying a variety of nonlinear excitations that arise in them [39][40][41][42][43][44]. These include for instance spin domains [45,46], spin textures [47,48], the very recently experimentally observed dark-dark-bright (DDB) and dark-bright-bright (DBB) solitons [49] (and variants [50], as well as interactions [22] thereof) and even twisted magnetic solitons [51].…”

Section: Introductionmentioning

confidence: 99%

See 1 more Smart Citation

Phase Diagram, Stability and Magnetic Properties of Nonlinear Excitations in Spinor Bose-Einstein Condensates

Katsimiga,

Mistakidis,

Schmelcher

et al. 2020

Preprint

Self Cite

View full text Add to dashboard Cite

We present the phase diagram, the underlying stability and magnetic properties as well as the dynamics of nonlinear solitary wave excitations arising in the distinct phases of a harmonically confined spinor F = 1 Bose-Einstein condensate. Particularly, it is found that nonlinear excitations in the form of dark-dark-bright solitons exist in the antiferomagnetic and in the easy-axis phase of a spinor gas, being generally unstable in the former while possessing stability intervals in the latter phase. Dark-bright-bright solitons can be realized in the polar and the easy-plane phases as unstable and stable configurations respectively; the latter phase can also feature stable dark-darkdark solitons. Importantly, the persistence of these types of states upon transitioning, by means of tuning the quadratic Zeeman coefficient from one phase to the other is unraveled. Additionally, the spin-mixing dynamics of stable and unstable matter waves is analyzed, revealing among others the coherent evolution of magnetic dark-bright, nematic dark-bright-bright and dark-dark-dark solitons. Moreover, for the unstable cases unmagnetized or magnetic droplet-like configurations and spin-waves consisting of regular and magnetic solitons are seen to dynamically emerge remaining thereafter robust while propagating for extremely large evolution times. Our investigations pave the wave for a systematic production and analysis involving spin transfer processes of such waveforms which have been recently realized in ultracold experiments.

show abstract

Section: A Ground State Phase Diagrammentioning

confidence: 86%

Section: Introductionmentioning

confidence: 99%

Phase Diagram, Stability and Magnetic Properties of Nonlinear Excitations in Spinor Bose-Einstein Condensates

Katsimiga,

Mistakidis,

Schmelcher

et al. 2020

Preprint

Self Cite

View full text Add to dashboard Cite

show abstract

“…These scars are beginning to be understood through dynamical symmetries [19,16,18,17]. Persistent oscillations have also been observed and studied in long-range interacting models [20,21,22], models with confinement [23,24,25,26,27,23,28] and many-body breathing modes [29,30,31,32,33,34,35].…”

Section: Relaxation To Stationarity In Many-body Quantum Systemsmentioning

confidence: 99%

Non-stationarity and dissipative time crystals: spectral properties and finite-size effects

2020

View full text Add to dashboard Cite

We discuss the emergence of non-stationarity in open quantum manybody systems. This leads us to the definition of dissipative time crystals which display experimentally observable, persistent, time-periodic oscillations induced by noisy contact with an environment. We use the Loschmidt echo and local observables to indicate the presence of a dissipative time crystal. Starting from the closed Hubbard model we then provide examples of dissipation mechanisms that yield experimentally observable quantum limit cycles and allow analysis of the emergence of dissipative time crystals. For a disordered Hubbard model including two-particle loss and gain we find a dark Hamiltonian driving oscillations between GHZ states in the long-time limit. Finally, we discuss how the presented examples could be experimentally realized.

show abstract

“…The ground state [29] in non-zero magnetization and zero magnetization is also seen using SMA in ferromagnetic type condensate. The ground state phase diagram of a spin-1 BEC is also shown to get substantially modified due to finite temperature effects [34,35] and interparticle correlations [36].…”

Section: Introductionmentioning

confidence: 98%

A variational approach for the ground state profile of a trapped spinor-BEC: A detailed study of phase transition in spin-1 condensate at zero magnetic field

Kanjilal¹,

Bhattacharyay²

2021

Preprint

View full text Add to dashboard Cite

The ground state of a spin-1 Bose-Einstein condensate is selected based on the most energetically stable stationary state. It is well known that for the homogeneous condensate linear and quadratic term plays an important role to lift the degeneracy among the stationary states, giving a rich phase diagram. In this article, we investigate the ground state in absence of linear and quadratic Zeeman terms under realistic trapping potential. The spin-dependent interaction strength plays a key role in favoring one of the stationary states to have the lowest energy and thus producing the ground state of the system. We notice that the Thomas-Fermi approximated results predict that for anti-ferromagnetic condensates the energy difference between the competing stationary states is really small, requiring further analysis considering the full profile of the condensate. Thus, for the purpose of further refining results, we introduce a variational method which provides the full number density profile of the condensate with very good accuracy even for small condensates in 3dimensional isotropic harmonic confinement as well as in effective 1-dimensional harmonic trapping. Then we compare all the relevant physical parameters with those of Thomas-Fermi results.

show abstract

Many-body effects on second-order phase transitions in spinor Bose-Einstein condensates and breathing dynamics

Cited by 11 publications

References 88 publications

Phase Diagram, Stability and Magnetic Properties of Nonlinear Excitations in Spinor Bose-Einstein Condensates

Phase Diagram, Stability and Magnetic Properties of Nonlinear Excitations in Spinor Bose-Einstein Condensates

Non-stationarity and dissipative time crystals: spectral properties and finite-size effects

A variational approach for the ground state profile of a trapped spinor-BEC: A detailed study of phase transition in spin-1 condensate at zero magnetic field

Contact Info

Product

Resources

About