Harmonic oscillator kicked by spin measurements: A Floquet-like system without a classical analog

@article{Montenegro2021HarmonicOK,
  title={Harmonic oscillator kicked by spin measurements: A Floquet-like system without a classical analog},
  author={Bento Montenegro and Nadja K. Bernardes and Fernando Parisio},
  journal={Physical Review A},
  year={2021}
}
We present a kicked harmonic oscillator where the impulsive driving is provided by stroboscopic measurements on an ancillary degree of freedom and not by the canonical quantization of a time-dependent Hamiltonian. The ancila is dynamically entangled with the oscillator position, while the background Hamiltonian remains static. The dynamics of this system is determined in closed analytical form, allowing for the evaluation of a properly defined Loschmidt echo, ensemble averages, and phase-space… 

Figures from this paper

References

SHOWING 1-10 OF 54 REFERENCES

The problem of quantum chaos in a kicked harmonic oscillator

Quantum chaos in a kicked harmonic oscillator is analysed. Under the condition of strong chaos of the classical limit, the time of classical description of quantum averages is shown to be of the

A non-Hermitian PT-symmetric kicked top

A non-Hermitian PT-symmetric version of the kicked top is introduced to study the interplay of quantum chaos with balanced loss and gain. The classical dynamics arising from the quantum dynamics of

Floquet many-body engineering: topology 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

Loschmidt echo

The Loschmidt echo is a measure of the revival occurring when an imperfect time-reversal procedure is applied to a complex quantum system. It allows to quantify the sensitivity of quantum evolution

Synthesizing lattice structures in phase space

In one dimensional systems, it is possible to create periodic structures in phase space through driving, which is called phase space crystals (Guo et al 2013 Phys. Rev. Lett. 111 205303). This is

Towards the web of quantum chaos diagnostics

We study the connections between three quantities that can be used as diagnostics for quantum chaos, i.e., the out-of-time-order correlator (OTOC), Loschmidt echo (LE), and complexity. We generalize

Time crystals: a review

The struggle to observe discrete time crystals is reviewed here together with propositions that generalize this concept introducing condensed matter like physics in the time domain.

Statistical Theory of Superlattices

In a recent paper, Bragg and Williams have pointed out that the arrangement of the atoms in an alloy depends in a striking way on the temperature. At high temperatures, the atoms are distributed

Hamiltonian Systems: Chaos and Quantization

Preface 1. Linear dynamical systems 2. Nonlinear systems 3. Chaotic systems 4. Normal forms 5. Maps of the circle 6. Integrable and quasi-integrable systems 7. Torus quantization 8. Quantization of

Quantum walks: a comprehensive review

This paper has reviewed several algorithms based on both discrete- and continuous-time quantum walks as well as a most important result: the computational universality of both continuous- and discrete- time quantum walks.
...