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The eigenstate thermalization hypothesis (ETH) is the leading conjecture for the emergence of statistical mechanics in generic isolated quantum systems and is formulated in terms of the matrix elements of operators. An analog known as the…

Statistical Mechanics · Physics 2024-10-04 Siddharth Jindal , Pavan Hosur

Measurement-induced phase transition arises from the competition between a deterministic quantum evolution and a repeated measurement process. We explore the measurement-induced phase transition through the Quantum Fisher Information in two…

Quantum Physics · Physics 2024-05-01 Giovanni Di Fresco , Bernardo Spagnolo , Davide Valenti , Angelo Carollo

Complexity of dynamics is at the core of quantum many-body chaos and exhibits a hierarchical feature: higher-order complexity implies more chaotic dynamics. Conventional ergodicity in thermalization processes is a manifestation of the…

Statistical Mechanics · Physics 2020-05-06 Kazuya Kaneko , Eiki Iyoda , Takahiro Sagawa

Despite the unitary evolution of closed quantum systems, long-time expectation of local observables are well described by thermal ensembles, providing the foundation of quantum statistical mechanics. A promising route to understanding this…

Quantum Physics · Physics 2026-02-03 Yuke Zhang , Pengfei Zhang

The eigenstate thermalization hypothesis (ETH), which dictates that all diagonal matrix elements within a small energy shell be almost equal, is a major candidate to explain thermalization in isolated quantum systems. According to the…

Statistical Mechanics · Physics 2018-02-27 Ryusuke Hamazaki , Masahito Ueda

The entanglement spectrum serves as a powerful tool for probing the structure and dynamics of quantum many-body systems, revealing key information about symmetry, topology, and excitations. While the entanglement entropy (EE) of ground…

There is a growing interest both in utilizing entanglement means to characterize many-body systems and in uncovering their entanglement depth. Motivated by recent findings that the spin quantum Fisher information witnesses amplified…

Strongly Correlated Electrons · Physics 2025-02-20 Yiming Wang , Yuan Fang , Fang Xie , Qimiao Si

The Eigenstate Thermalization Hypothesis (ETH) was developed as a framework for understanding how the principles of statistical mechanics emerge in the long-time limit of isolated quantum many-body systems. Since then, ETH has shifted the…

Statistical Mechanics · Physics 2025-12-01 Elisa Vallini , Laura Foini , Silvia Pappalardi

We explore the relationship between quantum Fisher information (QFI) and the negative of the second derivative of concurrence with respect to the coupling between two qubits, referred to as the curvature of entanglement (CoE). We analyze in…

Quantum Physics · Physics 2026-03-03 Zain H. Saleem , Anil Shaji , Anjala M Babu , Da-Wei Luo , Quinn Langfitt , Ting Yu , Stephen K. Gray

Although entanglement is a key resource for quantum-enhanced metrology, not all entanglement is useful. For example in the process of many-body thermalisation, bipartite entanglement grows rapidly, naturally saturating to a volume law. This…

Quantum Physics · Physics 2023-02-01 Shane Dooley , Silvia Pappalardi , John Goold

We study the particle-entanglement dynamics witnessed by the quantum Fisher information (QFI) of a trapped Bose-Einstein condensate governed by the kicked rotor Hamiltonian. The dynamics is investigated with a beyond mean-field approach. We…

Quantum Physics · Physics 2021-05-19 Sheng-Chang Li , Luca Pezzè , Augusto Smerzi

In this paper, we study the ground state Quantum Fisher Information (QFI) in one-dimensional spin-1 models, as witness to Multipartite Entanglement. The models addressed are the Bilinear-Biquadratic model, the most general isotropic…

We explore many-body entanglement in spinful Fermi gases with short-range interactions, for metrology purposes. We characterize the emerging quantum phases via Density-Matrix Renormalization Group simulations and quantify their entanglement…

Quantum Gases · Physics 2019-08-30 Leonardo Lucchesi , Maria Luisa Chiofalo

Quantum Fisher information (QFI) is a central concept in quantum sciences used to quantify the ultimate precision limit of parameter estimation, detect quantum phase transitions, witness genuine multipartite entanglement, or probe…

Quantum Physics · Physics 2026-02-09 Carlos L. Benavides-Riveros , Tomasz Wasak , Alessio Recati

The eigenstate thermalization hypothesis (ETH) plays a major role in explaining thermalization of isolated quantum many-body systems. However, there has been no proof of the ETH in realistic systems due to the difficulty in the theoretical…

Statistical Mechanics · Physics 2024-10-25 Yuuya Chiba , Yasushi Yoneta

In an isolated quantum many-body system undergoing unitary evolution, we study the thermalization of a subsystem, treating the rest of the system as a bath. In this setting, the eigenstate thermalization hypothesis (ETH) was proposed to…

Statistical Mechanics · Physics 2023-11-30 Aram W. Harrow , Yichen Huang

The eigenstate thermalization hypothesis (ETH) offers a universal mechanism for the approach to equilibrium of closed quantum many-body systems. So far, however, experimental studies have focused on the relaxation dynamics of observables as…

Quantum Gases · Physics 2020-12-15 Alexander Schuckert , Michael Knap

Quantum thermalization is well understood via the Eigenstate Thermalization Hypothesis (ETH). The general form of ETH, describing all the relevant correlations of matrix elements, may be derived on the basis of a `typicality' argument of…

Statistical Mechanics · Physics 2023-03-30 Silvia Pappalardi , Laura Foini , Jorge Kurchan

We provide a pedagogical introduction to eigenstate thermalization. This phenomenon, which occurs in generic quantum systems, allows one to understand why thermalization takes place in isolated systems under unitary dynamics. We motivate…

Quantum Physics · Physics 2026-04-29 Rohit Patil , Marcos Rigol

Quantum Fisher Information (QFI) is a fundamental quantity in quantum parameter estimation theory, characterizing the ultimate precision bound of parameter estimation. In this work, we investigate QFI for quantum states in non-Hermitian…

Quantum Physics · Physics 2025-05-27 L. H. Wei , H. J. Xing , L. B. Fu , H. D. Liu
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