Related papers: Full Eigenstate Thermalization via Free Cumulants in Quantum Lattice Systems

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Emergent universality in Kraus maps of quantum chaotic many-body dynamics [0.3181700357675698]
We show a new form of universality exhibited in the "finer fingerprints" of quantum dynamics for local subsystems.<n>We consider the projected Kraus ensemble, an ensemble of Kraus operators obtained by unraveling the quantum channel on a small subsystem.<n>This universality in Kraus operators also provides a microscopic mechanism for deep thermalization in generic 1D quantum circuit dynamics.
arXiv Detail & Related papers (2026-09-11T10:36:40Z)
Hysteretic squashed entanglement in many-body quantum systems [42.085941481155295]
Entanglement in many-body quantum systems is distributed across spatial regions.<n>We propose hysteretic entanglement $T_sq$, a conditional entanglement that measures the genuine quantum correlations between two subregions.<n>We show that $T_sq$ can detect genuine quantum correlations across both adjacent and long-range subsystems.
arXiv Detail & Related papers (2026-03-10T17:00:49Z)
Finite-Size Scaling of the Full Eigenstate Thermalization in Quantum Spin Chains [11.94261497810509]
The eigenstate thermalization hypothesis (ETH) posits that individual energy eigenstates already appear locally thermal.<n>We perform a detailed exact-diagonalization study of finite-size corrections to these relations in the canonical ensemble.<n>Our results provide a systematic and practical methodology for validating the full ETH in quantum many-body systems.
arXiv Detail & Related papers (2026-02-02T08:43:16Z)
Random-Matrix-Induced Simplicity Bias in Over-parameterized Variational Quantum Circuits [72.0643009153473]
We show that expressive variational ansatze enter a Haar-like universality class in which both observable expectation values and parameter gradients concentrate exponentially with system size.<n>As a consequence, the hypothesis class induced by such circuits collapses with high probability to a narrow family of near-constant functions.<n>We further show that this collapse is not unavoidable: tensor-structured VQCs, including tensor-network-based and tensor-hypernetwork parameterizations, lie outside the Haar-like universality class.
arXiv Detail & Related papers (2026-01-05T08:04:33Z)
Full Eigenstate Thermalization in Integrable Spin Systems [0.0]
Eigenstate Thermalization Hypothesis (ETH) is a tool to understand the thermalization properties of an isolated quantum system.<n>We numerically test these predictions of full ETH using exact diagonalization of two spin models: the Ising and the XXZ Heisenberg models.
arXiv Detail & Related papers (2025-10-07T12:59:13Z)
Free Cumulants and Full Eigenstate Thermalization from Boundary Scrambling [0.0]
We introduce a solvable many-body quantum model, which we term boundary scrambling, for which the full dynamics of higher-order OTOCs is analytically tractable.<n>We obtain exact expressions for (higher-order) correlations between matrix elements and show these to be stable away from the solvable point.<n>These results provide insight into the emergence of random-matrix behavior from structured Floquet dynamics and show how techniques from free probability can be applied in the construction of exactly-solvable many-body models.
arXiv Detail & Related papers (2025-09-09T18:01:45Z)
Experimental Detection of Dissipative Quantum Chaos [9.128377708538647]
We report the first experimental detection of dissipative quantum chaos and integrability.<n>We establish present-day quantum computation platforms as testbeds to explore dissipative many-body phenomena.
arXiv Detail & Related papers (2025-06-04T18:00:03Z)
Chaos and thermalization in open quantum systems [0.0]
We extend the eigenstate thermalization hypothesis to open quantum systems governed by Lindblad dynamics.<n>We show that thermalization manifests through the suppression of coherent oscillations and the emergence of structureless local dynamics.
arXiv Detail & Related papers (2025-05-23T18:00:13Z)
On a Matrix Ensemble for Arbitrary Complex Quantum Systems [0.0]
We present a variation of the eigenvector ensemble initially proposed by Deutsch for the foundations of the Eigenstate Thermalization Hypothesis (ETH) This ensemble incorporates additional system-dependent information, enabling the study of complex quantum systems beyond the universal predictions of Random Matrix Theory (RMT) We show that for small energy windows, the correlation functions defined by this ensemble reduce to the predictions made by the ETH.
arXiv Detail & Related papers (2024-07-29T23:17:45Z)
Measuring Spectral Form Factor in Many-Body Chaotic and Localized Phases of Quantum Processors [22.983795509221974]
We experimentally measure the spectral form factor (SFF) to probe the presence or absence of chaos in quantum many-body systems. This work unveils a new way of extracting the universal signatures of many-body quantum chaos in quantum devices by probing the correlations in eigenenergies and eigenstates.
arXiv Detail & Related papers (2024-03-25T16:59:00Z)
Universal correlations in chaotic many-body quantum states: Fock-space formulation of Berrys random wave model [0.0]
We show that the randomness of chaotic eigenstates in interacting quantum systems hides subtle correlations imposed by their finite energy per particle. These correlations are revealed when Berrys approach for chaotic eigenfunctions in single-particle systems is lifted into many-body space. We then identify the universality of both the cross-correlations and the Gaussian distribution of expansion coefficients as the signatures of chaotic eigenstates.
arXiv Detail & Related papers (2024-03-15T09:26:17Z)
Exploring Hilbert-Space Fragmentation on a Superconducting Processor [23.39066473461786]
Isolated interacting quantum systems generally thermalize, yet there are several counterexamples for the breakdown of ergodicity. Recently, ergodicity breaking has been observed in systems subjected to linear potentials, termed Stark many-body localization. Here, we experimentally explore initial-state dependent dynamics using a ladder-type superconducting processor with up to 24 qubits.
arXiv Detail & Related papers (2024-03-14T04:39:14Z)
Generalized Free Cumulants for Quantum Chaotic Systems [0.0]
The eigenstate thermalization hypothesis (ETH) is the leading conjecture for the emergence of statistical mechanics in isolated quantum systems. We show that the ETH is a sufficient mechanism for thermalization, in general. In particular, we show that reduced density matrices relax to their equilibrium form and that systems obey the Page curve at late times.
arXiv Detail & Related papers (2024-01-24T22:04:41Z)
Eigenstate correlations, the eigenstate thermalization hypothesis, and quantum information dynamics in chaotic many-body quantum systems [0.0]
We consider correlations between eigenstates specific to spatially extended systems and that characterise entanglement dynamics and operator spreading. The correlations associated with scrambling of quantum information lie outside the standard framework established by the eigenstate thermalisation hypothesis (ETH) We establish the simplest correlation function that captures these correlations and discuss features of its behaviour that are expected to be universal at long distances and low energies.
arXiv Detail & Related papers (2023-09-22T16:28:15Z)
Three-fold way of entanglement dynamics in monitored quantum circuits [68.8204255655161]
We investigate the measurement-induced entanglement transition in quantum circuits built upon Dyson's three circular ensembles. We obtain insights into the interplay between the local entanglement generation by the gates and the entanglement reduction by the measurements.
arXiv Detail & Related papers (2022-01-28T17:21:15Z)
Fast Thermalization from the Eigenstate Thermalization Hypothesis [69.68937033275746]
Eigenstate Thermalization Hypothesis (ETH) has played a major role in understanding thermodynamic phenomena in closed quantum systems. This paper establishes a rigorous link between ETH and fast thermalization to the global Gibbs state. Our results explain finite-time thermalization in chaotic open quantum systems.
arXiv Detail & Related papers (2021-12-14T18:48:31Z)
Non-Markovian Stochastic Schr\"odinger Equation: Matrix Product State Approach to the Hierarchy of Pure States [65.25197248984445]
We derive a hierarchy of matrix product states (HOMPS) for non-Markovian dynamics in open finite temperature. The validity and efficiency of HOMPS is demonstrated for the spin-boson model and long chains where each site is coupled to a structured, strongly non-Markovian environment.
arXiv Detail & Related papers (2021-09-14T01:47:30Z)
Information retrieval and eigenstates coalescence in a non-Hermitian quantum system with anti-$\mathcal{PT}$ symmetry [15.273168396747495]
Non-Hermitian systems with parity-time reversal ($mathcalPT$) or anti-$mathcalPT$ symmetry have attracted a wide range of interest owing to their unique characteristics and counterintuitive phenomena. We implement a Floquet Hamiltonian of a single qubit with anti-$mathcalPT$ symmetry by periodically driving a dissipative quantum system of a single trapped ion.
arXiv Detail & Related papers (2021-07-27T07:11:32Z)
Eigenstate thermalization in dual-unitary quantum circuits: Asymptotics of spectral functions [0.0]
The eigenstate thermalization hypothesis provides to date the most successful description of thermalization in isolated quantum systems. We study the distribution of matrix elements for a class of operators in dual-unitary quantum circuits.
arXiv Detail & Related papers (2021-03-22T09:46:46Z)
Out-of-time-order correlations and the fine structure of eigenstate thermalisation [58.720142291102135]
Out-of-time-orderors (OTOCs) have become established as a tool to characterise quantum information dynamics and thermalisation. We show explicitly that the OTOC is indeed a precise tool to explore the fine details of the Eigenstate Thermalisation Hypothesis (ETH) We provide an estimation of the finite-size scaling of $omega_textrmGOE$ for the general class of observables composed of sums of local operators in the infinite-temperature regime.
arXiv Detail & Related papers (2021-03-01T17:51:46Z)
Relevant OTOC operators: footprints of the classical dynamics [68.8204255655161]
The OTOC-RE theorem relates the OTOCs summed over a complete base of operators to the second Renyi entropy. We show that the sum over a small set of relevant operators, is enough in order to obtain a very good approximation for the entropy. In turn, this provides with an alternative natural indicator of complexity, i.e. the scaling of the number of relevant operators with time.
arXiv Detail & Related papers (2020-07-31T19:23:26Z)
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)
Test of Eigenstate Thermalization Hypothesis Based on Local Random Matrix Theory [4.014524824655106]
We numerically obtain a distribution of maximum fluctuations of eigenstate expectation values for different realizations of the interactions. The ergodicity of our random matrix ensembles breaks down due to locality.
arXiv Detail & Related papers (2020-05-13T15:45:13Z)

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