Eigenstate thermalization

• URL: http://arxiv.org/abs/2604.11872v1
• Date: Mon, 13 Apr 2026 18:00:00 GMT
• Title: Eigenstate thermalization
• Abstract summary: We motivate eigenstate thermalization using random matrix theory.<n>We discuss recent complementary results for the volume-law entanglement entropy of Haar-random states.
• Score: 0.0
• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• Abstract: We provide a pedagogical introduction to eigenstate thermalization. This phenomenon, which occurs in generic systems, allows one to understand why thermalization takes place in isolated quantum systems under unitary dynamics. We motivate eigenstate thermalization using random matrix theory and discuss recent complementary results for the volume-law entanglement entropy of Haar-random states. We discuss numerical results that highlight the corresponding behaviors in quantum many-body systems.

Related papers

• 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)
• On the generic increase of entropy in isolated systems [1.4824891788575416]
  This study establishes a universal mechanism for entropy production in isolated quantum systems governed by interactions.<n>We show that steady-state entropy generically arises from many-body interactions, independent of specific coupling details.<n>Our findings resolve longstanding debates about interaction-dependent entropy scaling and offer pathways for entropy control in quantum technologies.
  arXiv  Detail & Related papers  (2025-05-29T03:28:27Z)
• Universal Upper Bound on Ergotropy and No-Go Theorem by the Eigenstate Thermalization Hypothesis [9.361474110798143]
  We show that the maximum extractable work (ergotropy) from a quantum many-body system is constrained by local athermality of an initial state and local entropy decrease brought about by quantum operations.<n>Our result bridges two independently studied concepts of quantum thermodynamics, the second law and thermalization, via intrasystem correlations in many-body systems as a resource for work extraction.
  arXiv  Detail & Related papers  (2024-06-17T00:20:33Z)
• Theory of Eigenstate Thermalisation [0.0]
  The eigenstate thermalization hypothesis (ETH) of Deutsch and Srednicki suggests that this is possible because each eigenstate of the full quantum system acts as a thermal bath to its subsystems. Our analysis provides a derivation of statistical mechanics which requires neither the concepts of ergodicity or typicality, nor that of entropy.
  arXiv  Detail & Related papers  (2024-06-03T15:41:16Z)
• Open-system eigenstate thermalization in a noninteracting integrable model [0.0]
  We study the problem of thermalization of observables in isolated quantum setups by individual eigenstates. Our findings suggest that nonintegrability is not the sole driver of thermalization.
  arXiv  Detail & Related papers  (2024-04-17T13:16:42Z)
• Quantum Fisher Information for Different States and Processes in Quantum Chaotic Systems [77.34726150561087]
  We compute the quantum Fisher information (QFI) for both an energy eigenstate and a thermal density matrix. We compare our results with earlier results for a local unitary transformation.
  arXiv  Detail & Related papers  (2023-04-04T09:28:19Z)
• Non-Hermitian Hamiltonians Violate the Eigenstate Thermalization Hypothesis [0.0]
  Eigenstate Thermalization Hypothesis (ETH) represents a cornerstone in the theoretical understanding of the emergence of thermal behavior in closed quantum systems. We investigate what extent the ETH holds in non-Hermitian many-body systems. We come to the surprising conclusion that the fluctuations between eigenstates is of equal order to the average, indicating no thermalization.
  arXiv  Detail & Related papers  (2023-03-06T19:17:15Z)
• Quantum entropy thermalization [6.675805308519987]
  In an isolated quantum many-body system, the entropy of a subsystem thermalizes if at long times, it is to leading order equal to the thermodynamic entropy of the subsystem at the same energy.<n>We prove entropy thermalization for a nearly integrable Sachdev-Ye-Kitaev model in a pure product state.
  arXiv  Detail & Related papers  (2023-02-20T18:51:21Z)
• A quantum information perspective on meson melting [0.0]
  We propose to use quantum information notions to characterize thermally induced melting of nonperturbative bound states at high temperatures. An equilibrium signature of meson melting is identified in the temperature dependence of the thermal-state second R'enyi entropy. These analyses bring new ways of describing in-medium meson phenomena in quantum many-body and high-energy physics.
  arXiv  Detail & Related papers  (2022-06-21T16:53:44Z)
• Maximum entropy quantum state distributions [58.720142291102135]
  We go beyond traditional thermodynamics and condition on the full distribution of the conserved quantities. The result are quantum state distributions whose deviations from thermal states' get more pronounced in the limit of wide input distributions.
  arXiv  Detail & Related papers  (2022-03-23T17:42:34Z)
• 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)
• Open-system approach to nonequilibrium quantum thermodynamics at arbitrary coupling [77.34726150561087]
  We develop a general theory describing the thermodynamical behavior of open quantum systems coupled to thermal baths. Our approach is based on the exact time-local quantum master equation for the reduced open system states.
  arXiv  Detail & Related papers  (2021-09-24T11:19:22Z)
• 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)
• Evolution of a Non-Hermitian Quantum Single-Molecule Junction at Constant Temperature [62.997667081978825]
  We present a theory for describing non-Hermitian quantum systems embedded in constant-temperature environments. We find that the combined action of probability losses and thermal fluctuations assists quantum transport through the molecular junction.
  arXiv  Detail & Related papers  (2021-01-21T14:33:34Z)
• Thermalization of isolated quantum many-body system and the role of entanglement [1.0485739694839669]
  We show that entanglement may act as a thermalizing agent, not universally but particularly. In particular, we show that the expectation values of an observable in entangled energy eigenstates and its marginals are equivalent to the microcanonical and canonical averages of the observable.
  arXiv  Detail & Related papers  (2020-09-22T09:37:38Z)

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.