Reconstructing the spatial structure of quantum correlations in materials

• URL: http://arxiv.org/abs/2306.11723v3
• Date: Tue, 27 Aug 2024 21:52:32 GMT
• Title: Reconstructing the spatial structure of quantum correlations in materials
• Authors: Allen Scheie, Pontus Laurell, Elbio Dagotto, D. Alan Tennant, Tommaso Roscilde,
• Abstract summary: Quantum correlations are a fundamental property of many-body states. Yet they remain elusive, hindering certification of genuine quantum materials. We show that momentumdependent dynamical behavior via neutron scattering enables a general family of quantum correlation.
• Score: 0.0
• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• Abstract: Quantum correlations are a fundamental property of quantum many-body states. Yet they remain experimentally elusive, hindering certification of genuine quantum behavior, especially in quantum materials. Here we show that the momentum-dependent dynamical susceptibility measured via inelastic neutron scattering enables the systematic reconstruction of a general family of quantum correlation functions, which express the degree of quantum coherence in the fluctuations of two spins at arbitrary mutual distance. Using neutron scattering data on the compound KCuF$_3$ $\unicode{x2014}$ a system of weakly coupled $S=1/2$ Heisenberg chains $\unicode{x2014}$ and of numerically exact quantum Monte Carlo data, we show that quantum correlations possess a radically different spatial structure with respect to conventional correlations. Indeed, they exhibit a new emergent length scale $\unicode{x2014}$ the quantum coherence length $\unicode{x2014}$ which is finite at any finite temperature (including when long-range magnetic order develops). Moreover, we show theoretically that coupled Heisenberg spin chains exhibit a form of quantum monogamy, with a trade-off between quantum correlations along and transverse to the spin chains. These results highlight real-space quantum correlators as an informative, model-independent means of probing the underlying quantum state of real quantum materials.

Related papers

• Analog Quantum Simulator of a Quantum Field Theory with Fermion-Spin Systems in Silicon [34.80375275076655]
  Mapping fermions to qubits is challenging in $2+1$ and higher spacetime dimensions. We propose a native fermion-(large-)spin analog quantum simulator by utilizing dopant arrays in silicon.
  arXiv  Detail & Related papers  (2024-07-03T18:00:52Z)
• Quantum coarsening and collective dynamics on a programmable quantum simulator [27.84599956781646]
  We experimentally study collective dynamics across a (2+1)D Ising quantum phase transition. By deterministically preparing and following the evolution of ordered domains, we show that the coarsening is driven by the curvature of domain boundaries. We quantitatively explore these phenomena and further observe long-lived oscillations of the order parameter, corresponding to an amplitude (Higgs) mode.
  arXiv  Detail & Related papers  (2024-07-03T16:29:12Z)
• 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)
• Entanglement measures for two-particle quantum histories [0.0]
  We prove that bipartite quantum histories are entangled if and only if the Schmidt rank of this matrix is larger than 1. We then illustrate the non-classical nature of entangled histories with the use of Hardy's overlapping interferometers.
  arXiv  Detail & Related papers  (2022-12-14T20:48:36Z)
• 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)
• Experimental Validation of Fully Quantum Fluctuation Theorems Using Dynamic Bayesian Networks [48.7576911714538]
  Fluctuation theorems are fundamental extensions of the second law of thermodynamics for small systems. We experimentally verify detailed and integral fully quantum fluctuation theorems for heat exchange using two quantum-correlated thermal spins-1/2 in a nuclear magnetic resonance setup.
  arXiv  Detail & Related papers  (2020-12-11T12:55:17Z)
• Quantum Fisher information and skew information correlations in dipolar spin system [1.5630592429258865]
  Quantum Fisher information (QFI) and skew information (SI) plays a key role in the quantum resource theory. We consider a pair ofspin-1/2 particles coupled with dipolar and Dzyaloshinsky-Moriya (DM) interactions, serving as the physical carrier of quantum information.
  arXiv  Detail & Related papers  (2020-11-11T16:18:11Z)
• Experimental realisation of multipartite entanglement via quantum Fisher information in a uniform antiferromagnetic quantum spin chain [1.9089478605920303]
  Entanglement is a resource in quantum information and condensed matter physics. We detect and quantify multipartite entanglement in a spin 1/2 Heisenberg antiferromagnetic chain in a bulk solid.
  arXiv  Detail & Related papers  (2020-10-29T16:47:31Z)
• Quantum Statistical Complexity Measure as a Signalling of Correlation Transitions [55.41644538483948]
  We introduce a quantum version for the statistical complexity measure, in the context of quantum information theory, and use it as a signalling function of quantum order-disorder transitions. We apply our measure to two exactly solvable Hamiltonian models, namely: the $1D$-Quantum Ising Model and the Heisenberg XXZ spin-$1/2$ chain. We also compute this measure for one-qubit and two-qubit reduced states for the considered models, and analyse its behaviour across its quantum phase transitions for finite system sizes as well as in the thermodynamic limit by using Bethe ansatz.
  arXiv  Detail & Related papers  (2020-02-05T00:45:21Z)
• Probing the Universality of Topological Defect Formation in a Quantum Annealer: Kibble-Zurek Mechanism and Beyond [46.39654665163597]
  We report on experimental tests of topological defect formation via the one-dimensional transverse-field Ising model. We find that the quantum simulator results can indeed be explained by the KZM for open-system quantum dynamics with phase-flip errors. This implies that the theoretical predictions of the generalized KZM theory, which assumes isolation from the environment, applies beyond its original scope to an open system.
  arXiv  Detail & Related papers  (2020-01-31T02:55:35Z)

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.