Multifractality in quasienergy space of coherent states as a signature of quantum chaos

• URL: http://arxiv.org/abs/2110.10509v1
• Date: Wed, 20 Oct 2021 11:42:49 GMT
• Title: Multifractality in quasienergy space of coherent states as a signature of quantum chaos
• Authors: Qian Wang and Marko Robnik
• Abstract summary: We show the manifestation of phase space structures in the multifractal properties of coherent states. By tuning the kicking strength, the system undergoes a transition from regularity to chaos. The onset of chaos is clearly identified by the phase space averaged multifractal dimensions.
• Score: 8.402742655847774
• License: http://creativecommons.org/licenses/by/4.0/
• Abstract: We present the multifractal analysis of coherent states in kicked top model by expanding them in the basis of Floquet operator eigenstates. We demonstrate the manifestation of phase space structures in the multifractal properties of coherent states. In the classical limit, the classical dynamical map can be constructed, allowing us to explore the corresponding phase space portraits and to calculate Lyapunov exponent. By tuning the kicking strength, the system undergoes a transition from regularity to chaos. We show that the variation of multifractal dimensions of coherent states with kicking strength is able to capture the structural changes of the phase space. The onset of chaos is clearly identified by the phase space averaged multifractal dimensions, which are well described by random matrix theory in strongly chaotic regime. We further investigate the probability distribution of expansion coefficients, and show that the deviation between the numerical results and the prediction of random matrix theory behaves as a reliable detector of quantum chaos.

Related papers

• Probing quantum floating phases in Rydberg atom arrays [61.242961328078245]
  We experimentally observe the emergence of the quantum floating phase in 92 neutral-atom qubits. The site-resolved measurement reveals the formation of domain walls within the commensurate ordered phase. As the experimental system sizes increase, we show that the wave vectors approach a continuum of values incommensurate with the lattice.
  arXiv  Detail & Related papers  (2024-01-16T03:26:36Z)
• Real-space quantum-to-classical transition of time dependent background fluctuations [0.0]
  We show that a real-space approach can comprehensively address the quantum-to-classical transition problem in the leading order of curvature perturbations. We extract classicality signatures from a multi-mode Gaussian state and address them primarily in terms of entanglement entropy and log-classicality. We then extend the analysis to leading order fluctuations in $(+1)-$dimensions to show that a quantum-to-classical transition occurs in the de-Sitter expansion.
  arXiv  Detail & Related papers  (2023-07-25T16:17:30Z)
• Quantum multifractality as a probe of phase space in the Dicke model [0.0]
  We study the multifractal behavior of coherent states projected in the energy eigenbasis of the spin-boson Dicke Hamiltonian. By examining the linear approximation and parabolic correction to the mass exponents, we find ergodic and multifractal coherent states.
  arXiv  Detail & Related papers  (2023-07-07T19:04:26Z)
• Quantum walks with spatiotemporal fractal disorder [0.0]
  We investigate the transport and entanglement properties exhibited by quantum walks with coin operators in a space-time fractal structure. With this fractal approach it is possible to obtain an increase in quantum entanglement without spreading. The present model corresponds to a new application of fractals in an experimentally feasible setting.
  arXiv  Detail & Related papers  (2023-06-22T01:41:59Z)
• Non-Hermitian topological quantum states in a reservoir-engineered transmon chain [0.0]
  We show that a non-Hermitian quantum phase can be realized in a reservoir-engineered transmon chain. We show that genuine quantum effects are observable in this system via robust and slowly decaying long-range quantum entanglement of the topological end modes.
  arXiv  Detail & Related papers  (2022-10-06T15:21:21Z)
• Phase diagram of Rydberg-dressed atoms on two-leg square ladders: Coupling supersymmetric conformal field theories on the lattice [52.77024349608834]
  We investigate the phase diagram of hard-core bosons in two-leg ladders in the presence of soft-shoulder potentials. We show how the competition between local and non-local terms gives rise to a phase diagram with liquid phases with dominant cluster, spin, and density-wave quasi-long-range ordering.
  arXiv  Detail & Related papers  (2021-12-20T09:46:08Z)
• Generalized quantum measurements with matrix product states: Entanglement phase transition and clusterization [58.720142291102135]
  We propose a method for studying the time evolution of many-body quantum lattice systems under continuous and site-resolved measurement. We observe a peculiar phenomenon of measurement-induced particle clusterization that takes place only for frequent moderately strong measurements, but not for strong infrequent measurements.
  arXiv  Detail & Related papers  (2021-04-21T10:36:57Z)
• Super-operator structures and no-go theorems for dissipative quantum phase transitions [3.5127006916747714]
  We consider Markovian systems and elucidate structures of the Liouville super-operator that generates the time evolution. In a large class of systems, dissipative phase transitions are actually impossible and that the convergence to steady states follows an exponential temporal decay.
  arXiv  Detail & Related papers  (2020-12-10T08:18:21Z)
• Probing eigenstate thermalization in quantum simulators via fluctuation-dissipation relations [77.34726150561087]
  The eigenstate thermalization hypothesis (ETH) offers a universal mechanism for the approach to equilibrium of closed quantum many-body systems. Here, we propose a theory-independent route to probe the full ETH in quantum simulators by observing the emergence of fluctuation-dissipation relations. Our work presents a theory-independent way to characterize thermalization in quantum simulators and paves the way to quantum simulate condensed matter pump-probe experiments.
  arXiv  Detail & Related papers  (2020-07-20T18:00:02Z)
• Unraveling the topology of dissipative quantum systems [58.720142291102135]
  We discuss topology in dissipative quantum systems from the perspective of quantum trajectories. We show for a broad family of translation-invariant collapse models that the set of dark state-inducing Hamiltonians imposes a nontrivial topological structure on the space of Hamiltonians.
  arXiv  Detail & Related papers  (2020-07-12T11:26:02Z)
• The role of boundary conditions in quantum computations of scattering observables [58.720142291102135]
  Quantum computing may offer the opportunity to simulate strongly-interacting field theories, such as quantum chromodynamics, with physical time evolution. As with present-day calculations, quantum computation strategies still require the restriction to a finite system size. We quantify the volume effects for various $1+1$D Minkowski-signature quantities and show that these can be a significant source of systematic uncertainty.
  arXiv  Detail & Related papers  (2020-07-01T17:43:11Z)

This list is automatically generated from the titles and abstracts of the papers in this site.

This site does not guarantee the quality of this site (including all information) and is not responsible for any consequences.