• Corpus ID: 248506035

Transition to chaos in extended systems and their quantum impurity models

@inproceedings{Prasad2022TransitionTC,
  title={Transition to chaos in extended systems and their quantum impurity models},
  author={Mahaveer Prasad and Hari Kumar Yadalam and Manas Kulkarni and Camille Aron},
  year={2022}
}
Chaos sets a fundamental limit to quantum-information processing schemes. We study the onset of chaos in spatially extended quantum many-body systems that are relevant to quantum optical devices. We consider an extended version of the Tavis-Cummings model on a finite chain. By studying level-spacing statistics, adjacent gap ratios, and spectral form factors, we observe the transition from integrability to chaos as the hopping between the Tavis-Cummings sites is increased above a finite value. The… 

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References

SHOWING 1-10 OF 61 REFERENCES

Chaos and the quantum phase transition in the Dicke model.

  • C. EmaryT. Brandes
  • Physics
    Physical review. E, Statistical, nonlinear, and soft matter physics
  • 2003
A semiclassical Dicke model is derived that exhibits analogues of all the important features of the quantum model, such as the phase transition and the concurrent onset of chaos, and it is demonstrated that the system undergoes a transition from quasi-integrability to quantum chaotic.

Onset of many-body quantum chaos due to breaking integrability

Integrable quantum systems of finite size are generically robust against weak enough integrabilitybreaking perturbations, but become quantum chaotic and thermalizing if the integrability-breaking is

Comparative quantum and semiclassical analysis of atom-field systems. II. Chaos and regularity

The non-integrable Dicke model and its integrable approximation, the Tavis-Cummings (TC) model, are studied as functions of both the coupling constant and the excitation energy. The present

Regularity and chaos in cavity QED

The interaction of a quantized electromagnetic field in a cavity with a set of two-level atoms inside it can be described with algebraic Hamiltonians of increasing complexity, from the Rabi to the

Chaos in a deformed Dicke model

The critical behavior in an important class of excited state quantum phase transitions is signaled by the presence of a new constant of motion only at one side of the critical energy. We study the

Quantum and Classical Lyapunov Exponents in Atom-Field Interaction Systems.

The exponential growth of the out-of-time-ordered correlator (OTOC) has been proposed as a quantum signature of classical chaos and is studied in the Dicke model, where two-level atoms cooperatively interact with a quantized radiation field.

Onset of random matrix behavior in scrambling systems

A bstractThe fine grained energy spectrum of quantum chaotic systems is widely believed to be described by random matrix statistics. A basic scale in such a system is the energy range over which this

Quantum chaos triggered by precursors of a quantum phase transition: the dicke model.

The Dicke Hamiltonian, a simple quantum-optical model which exhibits a zero-temperature quantum phase transition, is considered and an exact solution in the thermodynamic limit is derived, relating this phenomenon to a localization-delocalization transition in which a macroscopic superposition is generated.

Universal spectral correlations in the chaotic wave function and the development of quantum chaos

We investigate the appearance of quantum chaos in a single many-body wave function by analyzing the statistical properties of the eigenvalues of its reduced density matrix $\rho_A$ of a spatial

Probing Symmetries of Quantum Many-Body Systems through Gap Ratio Statistics

The approach furnishes an efficient way to characterize the number and size of independent symmetry subspaces, and presents a large set of applications in many-body physics, ranging from quantum clock models and anyonic chains to periodically-driven spin systems.
...