Experimental verification of the area law of mutual information in quantum field theory

• URL: http://arxiv.org/abs/2206.10563v1
• Date: Tue, 21 Jun 2022 17:41:01 GMT
• Title: Experimental verification of the area law of mutual information in quantum field theory
• Authors: Mohammadamin Tajik, Ivan Kukuljan, Spyros Sotiriadis, Bernhard Rauer, Thomas Schweigler, Federica Cataldini, Jo\~ao Sabino, Frederik M{\o}ller, Philipp Sch\"uttelkopf, Si-Cong Ji, Dries Sels, Eugene Demler and J\"org Schmiedmayer
• Abstract summary: We experimentally verify one of the fundamental properties of equilibrium states of gapped quantum many-body systems. We also study the dependence of mutual information on temperature and the separation between the subsystems. Our work demonstrates the capability of ultra-cold atom simulators to measure entanglement in quantum field theories.
• Score: 0.0
• License: http://creativecommons.org/licenses/by/4.0/
• Abstract: Theoretical understanding of the scaling of entropies and the mutual information in quantum many-body systems has led to significant advances in the research of correlated states of matter, quantum field theory, and gravity. Although there have been several experimental measurements of R\'{e}nyi and von Neumann entropies in systems with discrete degrees of freedom, the measurement of entropies between extensive intervals of continuous systems has remained elusive. In this work, we measure the von Neumann entropy of spatially extended subsystems in an ultra-cold atom simulator of one-dimensional quantum field theories. We experimentally verify one of the fundamental properties of equilibrium states of gapped quantum many-body systems, the area law of quantum mutual information. We also study the dependence of mutual information on temperature and the separation between the subsystems. Our work demonstrates the capability of ultra-cold atom simulators to measure entanglement in quantum field theories.

Related papers

• Effect of the readout efficiency of quantum measurement on the system entanglement [44.99833362998488]
  We quantify the entanglement for a particle on a 1d quantum random walk under inefficient monitoring. We find that the system's maximal mean entanglement at the measurement-induced quantum-to-classical crossover is in different ways by the measurement strength and inefficiency.
  arXiv  Detail & Related papers  (2024-02-29T18:10:05Z)
• Hyperfine Structure of Quantum Entanglement [8.203995433574182]
  We introduce the textithyperfine structure of entanglement, which dissects entanglement contours known as the fine structure into particle-number cumulants. Our findings suggest experimental accessibility, offering fresh insights into quantum entanglement across physical systems.
  arXiv  Detail & Related papers  (2023-11-03T15:49:56Z)
• Quantifying High-Order Interdependencies in Entangled Quantum States [43.70611649100949]
  We introduce the Q-information: an information-theoretic measure capable of distinguishing quantum states dominated by synergy or redundancy. We show that quantum systems need at least four variables to exhibit high-order properties. Overall, the Q-information sheds light on novel aspects of the internal organisation of quantum systems and their time evolution.
  arXiv  Detail & Related papers  (2023-10-05T17:00:13Z)
• Enhanced Entanglement in the Measurement-Altered Quantum Ising Chain [46.99825956909532]
  Local quantum measurements do not simply disentangle degrees of freedom, but may actually strengthen the entanglement in the system. This paper explores how a finite density of local measurement modifies a given state's entanglement structure.
  arXiv  Detail & Related papers  (2023-10-04T09:51:00Z)
• Quantitative bounds to propagation of quantum correlations in many-body systems [0.0]
  We establish limits to bipartite quantum correlations in many-body systems. Results confirm that proliferation of classical information in the Universe suppresses quantum correlations.
  arXiv  Detail & Related papers  (2023-10-04T00:24:06Z)
• Exploring Large-Scale Entanglement in Quantum Simulation [0.0]
  Entanglement is a distinguishing feature of quantum many-body systems. Here we perform experimental investigations of entanglement based on the entanglement Hamiltonian.
  arXiv  Detail & Related papers  (2023-05-31T18:00:01Z)
• Observation of partial and infinite-temperature thermalization induced by repeated measurements on a quantum hardware [62.997667081978825]
  We observe partial and infinite-temperature thermalization on a quantum superconducting processor. We show that the convergence does not tend to a completely mixed (infinite-temperature) state, but to a block-diagonal state in the observable basis.
  arXiv  Detail & Related papers  (2022-11-14T15:18:11Z)
• Neural-Network Quantum States for Periodic Systems in Continuous Space [66.03977113919439]
  We introduce a family of neural quantum states for the simulation of strongly interacting systems in the presence of periodicity. For one-dimensional systems we find very precise estimations of the ground-state energies and the radial distribution functions of the particles. In two dimensions we obtain good estimations of the ground-state energies, comparable to results obtained from more conventional methods.
  arXiv  Detail & Related papers  (2021-12-22T15:27:30Z)
• Intrinsic Entropy of Squeezed Quantum Fields and Nonequilibrium Quantum Dynamics of Cosmological Perturbations [0.0]
  entropy of cosmological perturbations can be studied by treating them in the framework of squeezed quantum systems. We compute the covariance matrix elements of the parametric quantum field and solve for the evolution of the density matrix elements. We show explicitly why the entropy for the squeezed yet closed system is zero, but is proportional to the particle number produced.
  arXiv  Detail & Related papers  (2021-10-06T13:43:00Z)
• Breakdown of quantum-classical correspondence and dynamical generation of entanglement [6.167267225728292]
  We study the generation of quantum entanglement induced by an ideal Fermi gas confined in a chaotic cavity. We find that the breakdown of the quantum-classical correspondence of particle motion, via dramatically changing the spatial structure of many-body wavefunction, leads to profound changes of the entanglement structure.
  arXiv  Detail & Related papers  (2021-04-14T03:09:24Z)
• Taking the temperature of a pure quantum state [55.41644538483948]
  Temperature is a deceptively simple concept that still raises deep questions at the forefront of quantum physics research. We propose a scheme to measure the temperature of such pure states through quantum interference.
  arXiv  Detail & Related papers  (2021-03-30T18:18:37Z)

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.