Adiabatic motion and the structure of quasi-energy surfaces of periodically driven quantum systems

1990 ◽  
Vol 105 (1) ◽  
pp. 53-63 ◽  
Author(s):  
H. P. Breuer ◽  
K. Dietz ◽  
M. Holthaus
Keyword(s):  
Quantum Systems ◽  
Periodically Driven ◽  
Adiabatic Motion ◽  
Energy Surfaces

scholarly journals Periodic and quasiperiodic revivals in periodically driven interacting quantum systems

2018 ◽  
Vol 97 (2) ◽  
Author(s):  
David J. Luitz ◽  
Achilleas Lazarides ◽  
Yevgeny Bar Lev
Keyword(s):  
Quantum Systems ◽  
Periodically Driven

scholarly journals Quasi-Periodically Driven Quantum Systems

2016 ◽  
Vol 71 (10) ◽  
pp. 897-907 ◽  
Author(s):  
Albert Verdeny ◽  
Joaquim Puig ◽  
Florian Mintert
Keyword(s):  
Critical Review ◽  
Floquet Theory ◽  
Theoretical Framework ◽  
Quantum Systems ◽  
Magnus Expansion ◽  
Quantum Simulations ◽  
Periodically Driven ◽  
Suitable Parameter

AbstractFloquet theory provides rigorous foundations for the theory of periodically driven quantum systems. In the case of non-periodic driving, however, the situation is not so well understood. Here, we provide a critical review of the theoretical framework developed for quasi-periodically driven quantum systems. Although the theoretical footing is still under development, we argue that quasi-periodically driven quantum systems can be treated with generalisations of Floquet theory in suitable parameter regimes. Moreover, we provide a generalisation of the Floquet-Magnus expansion and argue that quasi-periodic driving offers a promising route for quantum simulations.

scholarly journals Non-dispersive wave packets in periodically driven quantum systems

2002 ◽  
Vol 368 (5) ◽  
pp. 409-547 ◽  
Author(s):  
Andreas Buchleitner ◽  
Dominique Delande ◽  
Jakub Zakrzewski
Keyword(s):  
Wave Packets ◽  
Quantum Systems ◽  
Dispersive Wave ◽  
Periodically Driven

scholarly journals Dynamic steady state of periodically driven quantum systems

2016 ◽  
Vol 93 (1) ◽  
Author(s):  
V. I. Yudin ◽  
A. V. Taichenachev ◽  
M. Yu. Basalaev
Keyword(s):  
Steady State ◽  
Quantum Systems ◽  
Periodically Driven

scholarly journals Multifractality without fine-tuning in a Floquet quasiperiodic chain

2018 ◽  
Vol 4 (5) ◽  
Author(s):  
Sthitadhi Roy ◽  
Ivan Khaymovich ◽  
Arnab Das ◽  
Roderich Moessner
Keyword(s):  
Discrete Time ◽  
Random Matrix ◽  
Cold Atom ◽  
Quantum Systems ◽  
Fine Tuning ◽  
Superfluid Transition ◽  
Model Parameters ◽  
Interacting Particles ◽  
Periodically Driven

Periodically driven, or Floquet, disordered quantum systems have generated many unexpected discoveries of late, such as the anomalous Floquet Anderson insulator and the discrete time crystal. Here, we report the emergence of an entire band of multifractal wavefunctions in a periodically driven chain of non-interacting particles subject to spatially quasiperiodic disorder. Remarkably, this multifractality is robust in that it does not require any fine-tuning of the model parameters, which sets it apart from the known multifractality of critical wavefunctions. The multifractality arises as the periodic drive hybridises the localised and delocalised sectors of the undriven spectrum. We account for this phenomenon in a simple random matrix based theory. Finally, we discuss dynamical signatures of the multifractal states, which should betray their presence in cold atom experiments. Such a simple yet robust realisation of multifractality could advance this so far elusive phenomenon towards applications, such as the proposed disorder-induced enhancement of a superfluid transition.

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