Inherent quantum resources in the stationary spin chains
- URL: http://arxiv.org/abs/2405.16974v2
- Date: Tue, 4 Jun 2024 15:15:17 GMT
- Title: Inherent quantum resources in the stationary spin chains
- Authors: Marcin Płodzień, Jan Chwedeńczuk, Maciej Lewenstein,
- Abstract summary: We show that many-body Bell correlations are inherently present in the eigenstates of a variety of spin-1/2 chains.
In particular, we show that the eigenstates and thermal states of the collective Lipkin-Meshkov-Glick model possess many-body Bell correlations.
- Score: 0.0
- License: http://creativecommons.org/licenses/by/4.0/
- Abstract: The standard way to generate many-body quantum correlations is via a dynamical protocol: an initial product state is transformed by interactions that generate non-classical correlations at later times. Here, we show that many-body Bell correlations are inherently present in the eigenstates of a variety of spin-1/2 chains. In particular, we show that the eigenstates and thermal states of the collective Lipkin-Meshkov-Glick model possess many-body Bell correlations. We demonstrate that the Bell correlations can take on quantized values that change discontinuously with variations in the total magnetization. Finally, we show that these many-body Bell correlations persist even in the presence of both diagonal and off-diagonal disorder.
Related papers
- Bell correlations of a thermal fully-connected spin chain in a vicinity
of a quantum critical point [0.0]
Bell correlations are among the most exotic phenomena through which quantum mechanics manifests itself.
Their presence signals that the system can violate the postulates of local realism.
It is of growing interest to characterize the Bell content'' of complex, scalable many-body systems.
arXiv Detail & Related papers (2024-03-04T19:00:01Z) - Quantum Effects on the Synchronization Dynamics of the Kuramoto Model [62.997667081978825]
We show that quantum fluctuations hinder the emergence of synchronization, albeit not entirely suppressing it.
We derive an analytical expression for the critical coupling, highlighting its dependence on the model parameters.
arXiv Detail & Related papers (2023-06-16T16:41:16Z) - Generation of scalable many-body Bell correlations in spin chains with
short-range two-body interactions [0.0]
We show that quantum resources can be dynamically generated with a finite range of interactions.
We identify a necessary critical range and indicate a critical time when scalable quantum correlations appear.
arXiv Detail & Related papers (2023-06-09T18:01:04Z) - One-axis twisting as a method of generating many-body Bell correlations [0.0]
We show that the one-axis twisting (OAT) is a powerful source of many-body Bell correlations.
We develop a fully analytical and universal treatment of the process, which allows us to identify the critical time at which the Bell correlations emerge, and predict the depth of Bell correlations at all subsequent times.
arXiv Detail & Related papers (2022-06-21T17:16:37Z) - Frequency combs with parity-protected cross-correlations from
dynamically modulated qubit arrays [117.44028458220427]
We develop a general theoretical framework to dynamically engineer quantum correlations in the frequency-comb emission from an array of superconducting qubits in a waveguide.
We demonstrate, that when the resonance of the two qubits are periodically modulated with a $pi$ phase shift, it is possible to realize simultaneous bunching and antibunching in cross-correlations of the scattered photons from different sidebands.
arXiv Detail & Related papers (2022-03-01T13:12:45Z) - Understanding the propagation of excitations in quantum spin chains with
different kind of interactions [68.8204255655161]
It is shown that the inhomogeneous chains are able to transfer excitations with near perfect fidelity.
It is shown that both designed chains have in common a partially ordered spectrum and well localized eigenvectors.
arXiv Detail & Related papers (2021-12-31T15:09:48Z) - Genuine Multipartite Correlations in a Boundary Time Crystal [56.967919268256786]
We study genuine multipartite correlations (GMC's) in a boundary time crystal (BTC)
We analyze both (i) the structure (orders) of GMC's among the subsystems, as well as (ii) their build-up dynamics for an initially uncorrelated state.
arXiv Detail & Related papers (2021-12-21T20:25:02Z) - Spectrum of localized states in fermionic chains with defect and
adiabatic charge pumping [68.8204255655161]
We study the localized states of a generic quadratic fermionic chain with finite-range couplings.
We analyze the robustness of the connection between bands against perturbations of the Hamiltonian.
arXiv Detail & Related papers (2021-07-20T18:44:06Z) - Detection of quantum phase transition in spin-1 chain through
multipartite high-order correlations [0.0]
We design a Bell inequality that is violated by correlations obtained from the ground states of XXZ spin-1 chain with on site anisotropies at the region of phase transition.
Results provide the first characterization of quantum phase transition via the violation of Bell-type constraint by correlations in the XXZ spin-1 chain with multi-body correlations and high-order measurements.
arXiv Detail & Related papers (2021-05-26T08:29:14Z) - Bell-type correlation at quantum phase transitions in spin-1 chain [0.0]
We exploit a Bell-type correlation that is applied to the one-dimensional spin-1 XXZ chain.
The role of high-order terms in the criticality has been identified and their physical implications for the quantum phase has been revealed.
arXiv Detail & Related papers (2020-10-20T04:17:46Z) - Non-equilibrium non-Markovian steady-states in open quantum many-body
systems: Persistent oscillations in Heisenberg quantum spin chains [68.8204255655161]
We investigate the effect of a non-Markovian, structured reservoir on an open Heisenberg spin chain.
We establish a coherent self-feedback mechanism as the reservoir couples frequency-dependent to the spin chain.
arXiv Detail & Related papers (2020-06-05T09:16:28Z)
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.