Ultracold Bose gases in disorder potentials with spatiotemporal dynamics

Nagler, Benjamin; Will, Martin; Hiebel, Silvia; Barbosa, Sian; Koch, Jennifer; Fleischhauer, Michael; Widera, Artur

doi:10.48550/arxiv.2007.11523

Cited by 3 publications

(4 citation statements)

References 52 publications

(65 reference statements)

Supporting

Mentioning

Contrasting

Order By: Relevance

“…Alternatively, time-periodic driving has a great potential to expand the scope of the achievable non-equilibrium asymptotic states [49][50][51][52][53]. Also, there is an emerging and quite promising research direction of utilizing stochastic driving with a tunable time scale [54]. Moreover, one can ask, in the spirit of quantum control theory [55][56][57], whether a particular driving protocol could be designed in order to maximize or minimize the final condensate deformation.…”

Section: Discussionmentioning

confidence: 99%

Non-equilibrium evolution of Bose-Einstein condensate deformation in temporally controlled weak disorder

Radonjić,

Pelster

2020

Preprint

View full text Add to dashboard Cite

We consider a time-dependent extension of a perturbative mean-field approach to the dirty boson problem by considering how switching on and off a weak disorder potential affects the stationary state of an initially homogeneous Bose-Einstein condensate by the emergence of a disorder-induced condensate deformation. We find that in the switch on scenario the stationary condensate deformation turns out to be a sum of an equilibrium part and a dynamically-induced part, where the latter depends on the particular driving protocol. If the disorder is switched off afterwards, the resulting condensate deformation acquires an additional dynamically-induced part in the long-time limit, while the equilibrium part vanishes. Our results demonstrate that the condensate deformation represents an indicator of the generically non-equilibrium nature of steady states of a Bose gas in a temporally controlled weak disorder.

show abstract

Section: Discussionmentioning

confidence: 99%

Non-equilibrium evolution of Bose-Einstein condensate deformation in temporally controlled weak disorder

Radonjić,

Pelster

2020

Preprint

View full text Add to dashboard Cite

show abstract

“…Focusing first on the decoherence dynamics of one qubit coupled to a quasi-periodic chain, we note that multiple elements required to implement this are already in place especially in ultracold atomic systems. This includes realizations of quasi-periodic AAH and GAAH lattices [43,49,50] and experiments with position controlled implantation of qubit impurities in ultracold gases and studies of their decoherence [20,25]. In [25] although the coupling between the impurity qubit and the atomic gas was implemented via elastic collisions is expected to cause dephasing, for their choice of the internal atomic states for the qubit, dephasing was dominated by other external noise factors.…”

Section: Discussionmentioning

confidence: 99%

“…The intense theoretical research in this area focusing on different properties such as singleparticle and many body localization, transport etc. has been complemented and invigorated by the experimental realizations of such quasi-periodic potentials and the detection of localization and other associated phenom-ena [42][43][44][45][46][47][48][49][50]. While typical theoretical works have largely focused on localization and transport properties of the isolated quasi-periodic systems [51,52], in some recent work these systems have also been treated in an 'open' quantum manner by attaching two baths at the edges of the lattice and studying the non-equilibrium steady state transport properties of the system [52][53][54][55][56][57].…”

Section: Introductionmentioning

confidence: 99%

Read-out of Quasi-periodic Systems using Qubits

Saha,

Agarwalla,

Venkatesh

2020

Preprint

View full text Add to dashboard Cite

We develop a theoretical scheme to perform a read-out of the properties of a quasi-periodic system by coupling it to one or two qubits. We show that the decoherence dynamics of a single qubit coupled via a pure dephasing type term to a 1D quasi-periodic system with a potential given by the André-Aubry-Harper (AAH) model and its generalized versions (GAAH model) is sensitive to the nature of the single particle eigenstates (SPEs). More specifically, we can use the non-markovianity of the qubit dynamics as quantified by the backflow of information to clearly distinguish the localized, delocalized, and mixed regimes with a mobility edge of the AAH and GAAH model and evidence the transition between them. By attaching two qubits at distinct sites of the system, we demonstrate that the transport property of the quasi-periodic system is encoded in the scaling of the threshold time to develop correlations between the qubits with the distance between the qubits. This scaling can also be used to distinguish and infer different regimes of transport such as ballistic, diffusive and no transport engendered by SPEs that are delocalized, critical and localized respectively. When there is a mobility edge allowing the coexistence of different kinds of SPEs in the spectrum, such as the coexistence of localized and delocalized states in the GAAH models, we find that the transport behaviour and the scaling of the threshold time with qubit separation is governed by the fastest spreading states.

show abstract

“…Recent study demonstrates that the condensate deformation is a signature of the non-equilibrium feature of steady states of a Bose gas in a temporally controlled weak disorder [16]. Quite recently, experimental realization of ultracold bosonic gases in dynamic disorder with controlled correlation time have been reported in reference [17], where the microscopic origin of friction and dissipation has been well illustrated. There has been also an extensive amount of work addressing dynamics of bosons in disordered optical lattices (see e.g.…”

Section: Introductionmentioning

confidence: 99%

Binary Bose–Einstein condensates in a disordered time-dependent potential

Abbas¹,

Boudjemâa²

2022

J. Phys.: Condens. Matter

View full text Add to dashboard Cite

We study the non-equilibrium evolution of binary Bose-Einstein condensates in the presence of weak random potential with a Gaussian correlation function using the time-dependent perturbation theory. We apply this theory to construct a closed set of equations that highlight the role of the spectacular interplay between the disorder and the interspecies interactions in the time evolution of the density induced by disorder in each component. It is found that this latter increases with time favoring localization of both species. The time scale at which the theory remains valid depends on the respective system parameters. We show analytically and numerically that such a system supports a steady state that periodically changing during its time propagation. The obtained dynamical corrections indicate that disorder may transform the system into a stationary out-of-equilibrium states. Understanding this time evolution is pivotal for the realization of Floquet condensates.

show abstract

Ultracold Bose gases in disorder potentials with spatiotemporal dynamics

Cited by 3 publications

References 52 publications

Non-equilibrium evolution of Bose-Einstein condensate deformation in temporally controlled weak disorder

Non-equilibrium evolution of Bose-Einstein condensate deformation in temporally controlled weak disorder

Read-out of Quasi-periodic Systems using Qubits

Binary Bose–Einstein condensates in a disordered time-dependent potential

Contact Info

Product

Resources

About