Many-body quantum chaos in mixtures of multiple species

• URL: http://arxiv.org/abs/2310.06811v1
• Date: Tue, 10 Oct 2023 17:32:55 GMT
• Title: Many-body quantum chaos in mixtures of multiple species
• Authors: Vijay Kumar and Dibyendu Roy
• Abstract summary: We take two types of mixing, namely, Jaynes-Cummings and Rabi, respectively. We analytically derive the generating Hamiltonians whose spectral properties determine the spectral form factor in the leading order. The Rabi mixing between qubits and fermions leads to $t*propto mathcalO(log L)$, previously predicted for single species of qubits or fermions without total number conservation.
• Score: 10.761605198463853
• License: http://creativecommons.org/licenses/by/4.0/
• Abstract: We study spectral correlations in many-body quantum mixtures of fermions, bosons, and qubits with periodically kicked spreading and mixing of species. We take two types of mixing, namely, Jaynes-Cummings and Rabi, respectively, satisfying and breaking the conservation of a total number of species. We analytically derive the generating Hamiltonians whose spectral properties determine the spectral form factor in the leading order. We further analyze the system-size $(L)$ scaling of Thouless time $t^*$, beyond which the spectral form factor follows the prediction of random matrix theory. The $L$-dependence of $t^*$ crosses over from $\log L$ to $L^2$ with an increasing Jaynes-Cummings mixing between qubits and fermions or bosons in a finite-sized chain, and it finally settles to $t^* \propto \mathcal{O}(L^2)$ in the thermodynamic limit for any mixing strength. The Rabi mixing between qubits and fermions leads to $t^*\propto \mathcal{O}(\log L)$, previously predicted for single species of qubits or fermions without total number conservation.

Related papers

• Characterizing maximally many-body entangled fermionic states by using $M$-body density matrix [0.0]
  We study the many-body entanglement structure of fermionic $N-particle states. We also explore fermionic many-body entanglement in random states.
  arXiv  Detail & Related papers  (2024-12-12T18:53:28Z)
• Slow Mixing of Quantum Gibbs Samplers [47.373245682678515]
  We present a quantum generalization of these tools through a generic bottleneck lemma. This lemma focuses on quantum measures of distance, analogous to the classical Hamming distance but rooted in uniquely quantum principles. Even with sublinear barriers, we use Feynman-Kac techniques to lift classical to quantum ones establishing tight lower bound $T_mathrmmix = 2Omega(nalpha)$.
  arXiv  Detail & Related papers  (2024-11-06T22:51:27Z)
• Properties of a trapped multiple-species bosonic mixture at the infinite-particle-number limit: A solvable model [0.0]
  We investigate a trapped mixture of Bose-Einstein condensates consisting of a multiple number of P species. Of particular interest is the infinite-particle-number limit, which is obtained when the numbers of bosons are taken to infinity. We show and explain how correlations at the infinite-particle-number limit of the mixture depend on the interactions, and how they evolve with the number of species.
  arXiv  Detail & Related papers  (2024-09-16T11:34:02Z)
• Robust spectral $\pi$ pairing in the random-field Floquet quantum Ising model [44.84660857803376]
  We study level pairings in the many-body spectrum of the random-field Floquet quantum Ising model. The robustness of $pi$ pairings against longitudinal disorder may be useful for quantum information processing.
  arXiv  Detail & Related papers  (2024-01-09T20:37:48Z)
• Entanglement and Bell inequalities violation in $H\to ZZ$ with anomalous coupling [44.99833362998488]
  We discuss entanglement and violation of Bell-type inequalities for a system of two $Z$ bosons produced in Higgs decays. We find that a $ZZ$ state is entangled and violates the inequality for all values of the pair (anomalous) coupling constant.
  arXiv  Detail & Related papers  (2023-07-25T13:44:31Z)
• Observing super-quantum correlations across the exceptional point in a single, two-level trapped ion [48.7576911714538]
  In two-level quantum systems - qubits - unitary dynamics theoretically limit these quantum correlations to $2qrt2$ or 1.5 respectively. Here, using a dissipative, trapped $40$Ca$+$ ion governed by a two-level, non-Hermitian Hamiltonian, we observe correlation values up to 1.703(4) for the Leggett-Garg parameter $K_3$. These excesses occur across the exceptional point of the parity-time symmetric Hamiltonian responsible for the qubit's non-unitary, coherent dynamics.
  arXiv  Detail & Related papers  (2023-04-24T19:44:41Z)
• Theory of free fermions under random projective measurements [43.04146484262759]
  We develop an analytical approach to the study of one-dimensional free fermions subject to random projective measurements of local site occupation numbers. We derive a non-linear sigma model (NLSM) as an effective field theory of the problem.
  arXiv  Detail & Related papers  (2023-04-06T15:19:33Z)
• Symmetry-resolved entanglement entropy in critical free-fermion chains [0.0]
  symmetry-resolved R'enyi entanglement entropy is known to have rich theoretical connections to conformal field theory. We consider a class of critical quantum chains with a microscopic U(1) symmetry. For the density matrix, $rho_A$, of subsystems of $L$ neighbouring sites we calculate the leading terms in the large $L$ expansion of the symmetry-resolved R'enyi entanglement entropies.
  arXiv  Detail & Related papers  (2022-02-23T19:00:03Z)
• Annihilating Entanglement Between Cones [77.34726150561087]
  We show that Lorentz cones are the only cones with a symmetric base for which a certain stronger version of the resilience property is satisfied. Our proof exploits the symmetries of the Lorentz cones and applies two constructions resembling protocols for entanglement distillation.
  arXiv  Detail & Related papers  (2021-10-22T15:02:39Z)
• Quantum chaos and ensemble inequivalence of quantum long-range Ising chains [0.0]
  We use large-scale exact diagonalization to study the quantum Ising chain in a transverse field with long-range powerlaw interactions with exponents. Our findings suggest that a small fraction of energies could persist at low energies for $alpha1$ even for large $N$, giving rise to ensemble inequivalence.
  arXiv  Detail & Related papers  (2020-12-11T17:16:56Z)
• Spectral statistics in constrained many-body quantum chaotic systems [0.0]
  We study the spectral statistics of spatially-extended many-body quantum systems with on-site Abelian symmetries or local constraints. In particular, we analytically argue that in a system of length $L$ that conserves the $mth$ multipole moment, $t_mathrmTh$ scales subdiffusively as $L2(m+1)$.
  arXiv  Detail & Related papers  (2020-09-24T17:59:57Z)
• Self-regularizing Property of Nonparametric Maximum Likelihood Estimator in Mixture Models [39.27013036481509]
  We introduce the nonparametric maximum likelihood (NPMLE) model for general Gaussian mixtures. We show that with high probability the NPMLE based on a sample size has $O(log n)$ atoms (mass points) Notably, any mixture is statistically in from a finite one with $Olog selection.
  arXiv  Detail & Related papers  (2020-08-19T03:39:13Z)
• Random Matrix Spectral Form Factor in Kicked Interacting Fermionic Chains [1.6295305195753724]
  We study quantum chaos and spectral correlations in periodically driven (Floquet) fermionic chains with long-range two-particle interactions. We analytically show that the spectral form factor precisely follows the prediction of random matrix theory in the regime of long chains.
  arXiv  Detail & Related papers  (2020-05-21T07:02:04Z)

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.