Effects of interaction on the diffusion of atomic matter waves in one-dimensional quasiperiodic potentials

Larcher, Marco; Dalfovo, F.; Modugno, Michèle

doi:10.1103/physreva.80.053606

Cited by 83 publications

(107 citation statements)

References 35 publications

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“…As shown in Fig. 2 we essentially observe no expansion if U = 0, while for a finite U the distribution broadens and changes shape with the increasing time, as already studied both in the theory [22,23,24,25,26,27,28,29,30] and in the experiments [31]. The finite interaction energy breaks the orthogonality between the localized states, weakening the localization.…”

Section: Subdiffusion Of An Interacting System In a Static Disorderedmentioning

confidence: 52%

Transport of an interacting Bose gas in 1D disordered lattices

D’Errico¹,

Chaudhuri²,

Gori³

et al. 2014

AIP Conference Proceedings

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Abstract. We use ultracold atoms in a quasiperiodic lattice to study two outstanding problems in the physics of disordered systems: a) the anomalous diffusion of a wavepacket in the presence of disorder, interactions and noise; b) the transport of a disordered superfluid. a) Our results show that the subdiffusion, observed when interaction alone is present, can be modelled with a nonlinear diffusion equation and the peculiar shape of the expanding density profiles can be connected to the microscopic nonlinear diffusion coefficients. Also when noise alone is present we can describe the observed normal diffusion dynamics by existing microscopic models. In the unexplored regime in which noise and interaction are combined, instead, we observe an anomalous diffusion, that we model with a generalized diffusion equation, where noise-and interaction-induced contributions add each other. b) We find that an instability appearing at relatively large momenta can be employed to locate the fluid-insulator crossover driven by disorder. By investigating the momentum-dependent transport, we observe a sharp crossover from a weakly dissipative regime to a strongly unstable one at a disorder-dependent critical momentum. The set of critical disorder and interaction strengths for which such critical momentum vanishes, can be identified with the separation between a fluid regime and an insulating one and can be related to the predicted zero-temperature superfluid-Bose glass transition.

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Section: Subdiffusion Of An Interacting System In a Static Disorderedmentioning

confidence: 52%

Transport of an interacting Bose gas in 1D disordered lattices

D’Errico¹,

Chaudhuri²,

Gori³

et al. 2014

AIP Conference Proceedings

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“…Our primary motivation comes from these studies in which a finite one-dimensional (1d) Aubry-André model was experimentally realized. There have been extensive theoretical studies of the AA model in the past [10][11][12][13][14][15][16][17] , and in the recent years [18][19][20][21][22][23][24][25][26][27] in response to the experimental developments mentioned above (for recent reviews see Refs. [28][29][30].…”

Section: Introductionmentioning

confidence: 99%

Lattice bosons in a quasi-disordered environment

Ramakumar

Das

2013

Physica A: Statistical Mechanics and its Applications

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In this paper, we study non-interacting bosons in a quasi-disordered one-dimensional optical lattice in a harmonic potential. We consider the case of deterministic quasi-disorder produced by an Aubry-André potential. Using exact diagonalization, we investigate both the zero temperature and the finite temperature properties. We investigate the localization properties by using an entanglement measure. We find that the extreme sensitivity of the localization properties to the number of lattice sites in finite size closed chains disappear in open chains. This feature continues to be present in the presence of a harmonic confining potential. The quasi-disorder is found to strongly reduce the Bose-Einstein condensation temperature and the condensate fraction in open chains. The low temperature thermal depletion rate of the condensate fraction increases considerably with increasing quasi-disorder strength. We also find that the critical quasi-disorder strength required for localization increases with increasing strength of the harmonic potential. Further, we find that the low temperature condensate fraction undergoes a sharp drop to 0.5 in the localization transition region. The temperature dependence of the specific heat is found to be only marginally affected by the quasi-disorder.

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“…A key topic in low-dimensional solid state [16,17] and cold atomic [18][19][20][21] systems is the localization of particles by disorder. In the presence of SOC, the localization was studied in Ref.…”

Section: Introductionmentioning

confidence: 99%

Macroscopic random Paschen-Back effect in ultracold atomic gases

Modugno

Sherman

2017

Phys. Rev. A

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We consider spin-and density-related properties of single-particle states in a one-dimensional system with random spin-orbit coupling. We show that the presence of an additional Zeeman field ∆ induces both nonlinear spin polarization and delocalization of states localized at ∆ = 0, corresponding to a random macroscopic analogue of the Paschen-Back effect. While the conventional Paschen-Back effect corresponds to a saturated ∆−dependence of the spin polarization, here the gradual suppression of the spin-orbit coupling effects by the Zeeman field is responsible both for the spin saturation and delocalization of the particles.

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Effects of interaction on the diffusion of atomic matter waves in one-dimensional quasiperiodic potentials

Cited by 83 publications

References 35 publications

Transport of an interacting Bose gas in 1D disordered lattices

Transport of an interacting Bose gas in 1D disordered lattices

Lattice bosons in a quasi-disordered environment

Macroscopic random Paschen-Back effect in ultracold atomic gases

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