Anderson Transition of Cold Atoms with Synthetic Spin-Orbit Coupling in Two-Dimensional Speckle Potentials

Orso, Giuliano

doi:10.1103/physrevlett.118.105301

Cited by 22 publications

(15 citation statements)

References 55 publications

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“…(1) with J = h 2 /(2m 2 ), where m is the particle mass and is the lattice spacing. This procedure has recently been applied to obtain precise estimates [24][25][26][27][28][29] for the position of the mobility edge of cold atoms in laser speckle potentials, taking into account both the spatial correlations and the specific onsite distribution of the disorder.…”

Section: Introductionmentioning

confidence: 99%

Two-body mobility edge in the Anderson-Hubbard model in three dimensions: Molecular versus scattering states

Stellin

Orso

2020

Phys. Rev. Research

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Most of our quantitative understanding of disorder-induced metal-insulator transitions comes from numerical studies of simple noninteracting tight-binding models, like the Anderson model in three dimensions. An important outstanding problem is the fate of the Anderson transition in the presence of additional Hubbard interactions of strength U between particles. Based on large-scale numerics, we compute the position of the mobility edge for a system of two identical bosons or two fermions with opposite spin components. The resulting phase diagram in the interaction-energy-disorder space possesses a remarkably rich and counterintuitive structure, with multiple metallic and insulating phases. We show that this phenomenon originates from the molecular or scatteringlike nature of the pair states available at given energy E and disorder strength W. The disorder-averaged density of states of the effective model for the pair is also investigated. Finally, we discuss the implications of our results for ongoing research on many-body localization.

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Section: Introductionmentioning

confidence: 99%

Two-body mobility edge in the Anderson-Hubbard model in three dimensions: Molecular versus scattering states

Stellin

Orso

2020

Phys. Rev. Research

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“…Recently SO coupling have * Corresponding author: lzhou@phy.ecnu.edu.cn been successfully implemented in neutral atom [11][12][13]. Along with that, interesting physics have been predicted in SO-coupled atomic system such as dipole oscillation [11,14], Zitterbewegung [15,16], spin-dependent pairing [17], SO-modulated Anderson localization [18][19][20], SOmodulated atom optics [21] and exotic dynamics [22][23][24][25][26].…”

Section: Introductionmentioning

confidence: 99%

Bloch oscillations of spin-orbit-coupled cold atoms in an optical lattice and spin-current generation

Zhang

et al. 2019

Phys. Rev. A

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We study the Bloch oscillation dynamics of a spin-orbit-coupled cold atomic gas trapped inside a one-dimensioanl optical lattice. The eigenspectra of the system is identified as two interpenetrating Wannier-Stark ladder. Based on that, we carefully analyzed the Bloch oscillation dynamics and found out that intraladder coupling between neighboring rungs of Wannier-Stark ladder give rise to ordinary Bloch oscillation while interladder coupling lead to small amplitude high frequency oscillation superimposed on it. Specifically spin-orbit interaction breaks Galilean invariance, which can be reflected by out-of-phase oscillation of the two spin components in the accelerated frame. The possibility of generating spin current in this system are also explored.

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“…Additionally, proposals to investigate fractal structure induced by disorder 41 and measurement of system replicas simultaneously 42 have been put forward. The interplay of disorder with spin-orbit coupling 43 , spin degrees of freedom 44,45 , supersolidity 46 , and Dirac fermions 47 are being explored. New developments to diagnose critical behaviour in the Hubbard model using neural networks have been considered 48 , as well as, engineering of bound states via disorder 49 .…”

Section: Introductionmentioning

confidence: 99%

Localisation of weakly interacting bosons in two dimensions: disorder vs lattice geometry effects

González-García¹,

Caballero-Benítez²,

Paredes

2019

Sci Rep

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We investigate the effects of disorder and lattice geometry against localisation phenomena in a weakly interacting ultracold bosonic gas confined in a 2D optical lattice. The behaviour of the quantum fluid is studied at the mean-field level performing computational experiments, as a function of disorder strength for lattices of sizes similar to current experiments. Quantification of localisation, away from the Bose glass phase, was obtained directly from the stationary density profiles through a robust statistical analysis of the condensate component, as a function of the disorder amplitude. Our results show a smooth transition, or crossover, to localisation induced by disorder in square and triangular lattices. In contrast, associated to its larger tunneling amplitude, honeycomb lattices show absence of localisation for the same range of disorder strengths and same lattice amplitude, while also exhibiting partial localisation for large disorder amplitudes. We also conclude that the coordination number z have a partial influence on how fast this smooth transition occurs as the system size increases. Signatures of disorder are also found in the ground state energy spectrum, where a continuous distribution emerges instead of a distribution of sharp peaks proper to the system in the absence of disorder.

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Anderson Transition of Cold Atoms with Synthetic Spin-Orbit Coupling in Two-Dimensional Speckle Potentials

Cited by 22 publications

References 55 publications

Two-body mobility edge in the Anderson-Hubbard model in three dimensions: Molecular versus scattering states

Two-body mobility edge in the Anderson-Hubbard model in three dimensions: Molecular versus scattering states

Bloch oscillations of spin-orbit-coupled cold atoms in an optical lattice and spin-current generation

Localisation of weakly interacting bosons in two dimensions: disorder vs lattice geometry effects

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