Effective time-independent analysis for quantum kicked systems.

@article{Bandyopadhyay2015EffectiveTA,
  title={Effective time-independent analysis for quantum kicked systems.},
  author={Jayendra N Bandyopadhyay and Tapomoy Guha Sarkar},
  journal={Physical review. E, Statistical, nonlinear, and soft matter physics},
  year={2015},
  volume={91 3},
  pages={
          032923
        }
}
We present a mapping of potentially chaotic time-dependent quantum kicked systems to an equivalent approximate effective time-independent scenario, whereby the system is rendered integrable. The time evolution is factorized into an initial kick, followed by an evolution dictated by a time-independent Hamiltonian and a final kick. This method is applied to the kicked top model. The effective time-independent Hamiltonian thus obtained does not suffer from spurious divergences encountered if the… 

Figures from this paper

Floquet Many-body Engineering: Topological and Many-body Physics in Phase Space Lattices
Hamiltonians which are inaccessible in static systems can be engineered in periodically driven many-body systems, i.e., Floquet many-body systems. We propose to use interacting particles in a
Floquet analysis of pulsed Dirac systems: a way to simulate rippled graphene
The low energy continuum limit of graphene is effectively known to be modeled using the Dirac equation in (2 + 1) dimensions. We consider the possibility of using a modulated high frequency periodic
Digital quantum simulation, Trotter errors, and quantum chaos of the kicked top
This work aims at giving Trotter errors in digital quantum simulation (DQS) of collective spin systems an interpretation in terms of quantum chaos of the kicked top. In particular, for DQS of such
Survival of current in a periodically driven hard-core bosonic system
Abstract We study the survival of the current induced initially by applying a twist at the boundary of a chain of hard-core bosons (HCBs), subject to a periodic double δ -function kicks in the
Floquet time crystals in driven spin systems with all-to-all p -body interactions
We show the emergence of Floquet time crystal (FTC) phases in the Floquet dynamics of periodically driven p -spin models, which describe a collection of spin-1/2 particles with all-to-all p -body
Effect of noise on Bloch oscillations and Wannier-Stark localization
We calculate an exact expression for the probability propagator for a noisy electric field driven tight-binding lattice. The noise considered is a two-level jump process or a telegraph process (TP)
Excited-state quantum phase transitions
We review the effects of excited-state quantum phase transitions (ESQPTs) in interacting many-body systems with finite numbers of collective degrees of freedom. We classify typical ESQPT signatures
Hybrid Dispersion Dirac Semimetal and Hybrid Weyl Phases in Luttinger Semimetals: A Dynamical Approach
It is shown that hybrid Dirac and Weyl semimetals can be realized in a 3D Luttinger semimetal with quadratic band touching (QBT). This is illustrated using a periodic kicking scheme. In particular,
Impact of chaos on precursors of quantum criticality
Ignacio García-Mata,1 Eduardo Vergini,2 and Diego A. Wisniacki3 Instituto de Investigaciones Físicas de Mar del Plata (IFIMAR), Facultad de Ciencias Exactas y Naturales, Universidad Nacional de Mar
...
...