Interacting ultracold atomic kicked rotors: loss of dynamical localization

Qin, Pinquan; Andreanov, Alexei; Park, Hee Chul; Flach, Sergej

doi:10.1038/srep41139

Cited by 21 publications

(23 citation statements)

References 20 publications

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“…The non-linearity induces a self-reorganization during the system evolution giving rise to the anomalous diffusion of the kinetic energy. Nonlinearities have already been considered in the kicked rotor [136,141,145] and related disordered lattices [133][134][135]137] and they are indeed found to turn the dynamical or Anderson localization into a subdiffusive spreading of the wave function.…”

Section: Introductionmentioning

confidence: 99%

From localization to anomalous diffusion in the dynamics of coupled kicked rotors

et al. 2018

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We study the effect of many-body quantum interference on the dynamics of coupled periodically kicked systems whose classical dynamics is chaotic and shows an unbounded energy increase. We specifically focus on an N-coupled kicked rotors model: We find that the interplay of quantumness and interactions dramatically modifies the system dynamics, inducing a transition between energy saturation and unbounded energy increase. We discuss this phenomenon both numerically and analytically through a mapping onto an N-dimensional Anderson model. The thermodynamic limit N→∞, in particular, always shows unbounded energy growth. This dynamical delocalization is genuinely quantum and very different from the classical one: Using a mean-field approximation, we see that the system self-organizes so that the energy per site increases in time as a power law with exponent smaller than 1. This wealth of phenomena is a genuine effect of quantum interference: The classical system for N≥2 always behaves ergodically with an energy per site linearly increasing in time. Our results show that quantum mechanics can deeply alter the regularity or ergodicity properties of a many-body-driven system.

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Section: Introductionmentioning

confidence: 99%

From localization to anomalous diffusion in the dynamics of coupled kicked rotors

et al. 2018

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“…Further support for dynamical many-body localisation was recently reported in an integrable linear kicked-rotor system [47], which was later generalised for upto three coupled kicked rotors in a non-integrable relativistic model [48]. Qin et al showed that contact interactions in configuration space preserve dynamical localization for the center-ofmass momentum, but destroy it for the relative momentum for any non-zero strength of the interaction [49]. However, understanding more generally the existence of the many-body dynamical localisation effect remains unclear, especially for more than 2 to 3 rotors and under coupling that occurs in momentum space instead of the more commonly taken configuration space.…”

Section: Introductionmentioning

confidence: 82%

Many-body dynamical localisation of coupled quantum kicked rotors

Toikka¹,

Andreanov²

2019

Preprint

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The quantum motion of N coupled kicked rotors is mapped to an interacting N -particle Anderson-Aubry-André tight-binding problem supporting many-body localised (MBL) phases. Interactions in configuration space are known to be insufficient for destroying Anderson localisation in a system in the MBL phase. The mapping we establish here predicts that a similar effect takes place in momentum space and determines the quantum dynamics of the coupled kicked rotors. Due to the boundedness of the Floquet quasi-energy spectrum there exists limitations on the interacting lattice models that can be mapped to quantum kicked rotors; in particular, no extensive observable can be mapped in the thermodynamic limit.

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“…As for example, it has been observed that the dynamics of a QKR driven with three incommensurate frequencies can be mapped to the three dimensional Anderson problem and thus can exhibit both dynamical localization as well as diffusive growth in its kinetic energy [22]. Similarly, the localiza- * sourav.offc@gmail.com tion as well as delocalization behavior has been reported in coupled systems of multiple kicked rotors [23][24][25][26][27][28][29]. Finally, the robustness of the dynamically localized phase when subjected to a multitude of perturbations such as noise and environment induced dissipation effects have also been actively investigated [13][14][15][30][31][32][33][34][35].…”

Section: Introductionmentioning

confidence: 95%

Quasi-localization dynamics in a Fibonacci quantum rotor

Bhattacharjee,

Bandyopadhyay,

Dutta

2021

Preprint

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The dynamics of a quantum kicked rotor(QKR), unlike that of its classical counterpart, is known to be non-ergodic. This is due to the emergence of a dynamically localized wave-function in the angular momentum space, courtesy of interference affects. In this work, we analyze the dynamics of a quantum rotor kicked with a binary Fibonacci sequence of two distinct drive amplitudes. While the dynamics at low drive frequencies is found to be diffusive, a long-lived pre-ergodic regime emerges in the other limit. The dynamics in this pre-ergodic regime mimics that of a regular QKR and can be associated with the onset of a dynamical quasi-localization. We establish that this peculiar behavior arises due to the presence of localized eigenstates of an approximately conserved effective Hamiltonian, which drives the evolution at Fibonacci instants. However, the effective Hamiltonian picture does not persist indefinitely and the dynamics eventually becomes ergodic after asymptotically long times.

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Interacting ultracold atomic kicked rotors: loss of dynamical localization

Cited by 21 publications

References 20 publications

From localization to anomalous diffusion in the dynamics of coupled kicked rotors

From localization to anomalous diffusion in the dynamics of coupled kicked rotors

Many-body dynamical localisation of coupled quantum kicked rotors

Quasi-localization dynamics in a Fibonacci quantum rotor

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