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Published in 2020 at "Journal of High Energy Physics"
DOI: 10.1007/jhep03(2020)168
Abstract: In this paper we provide a universal description of the behavior of the basic operators of the Schwarzian theory in pure states. When the pure states are energy eigenstates, expectation values of non-extensive operators are… read more here.
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Published in 2017 at "Physical Review B"
DOI: 10.1103/physrevb.96.115140
Abstract: We use exact diagonalization to study the eigenstate thermalization hypothesis (ETH) in the quantum dimer model on the square and triangular lattices. Due to the nonergodicity of the local plaquette-ip dynamics, the Hilbert space, which… read more here.
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Published in 2019 at "Physical review. E"
DOI: 10.1103/physreve.99.042139
Abstract: The eigenstate thermalization hypothesis (ETH) implies a form for the matrix elements of local operators between eigenstates of the Hamiltonian, expected to be valid for chaotic systems. Another signal of chaos is a positive Lyapunov… read more here.
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Published in 2018 at "Physical review letters"
DOI: 10.1103/physrevlett.120.230601
Abstract: We consider the set of all initial states within a microcanonical energy shell of an isolated many-body quantum system, which exhibit an arbitrary but fixed nonequilibrium expectation value for some given observable A. On the… read more here.
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Published in 2019 at "Physical review letters"
DOI: 10.1103/physrevlett.123.111602
Abstract: Infinite-dimensional conformal symmetry in two dimensions leads to integrability of 2D conformal field theories (CFTs) by giving rise to an infinite tower of local conserved quantum Korteweg-de Vries (qKdV) charges in involution. We discuss how… read more here.
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Published in 2019 at "Physical review letters"
DOI: 10.1103/physrevlett.123.260601
Abstract: Generic rotationally invariant matrix models satisfy a simple relation: the probability distribution of half the difference between any two diagonal elements and the one of off-diagonal elements are the same. In the spirit of the… read more here.
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Published in 2020 at "Physical review letters"
DOI: 10.1103/physrevlett.125.070605
Abstract: Eigenstate thermalization is widely accepted as the mechanism behind thermalization in generic isolated quantum systems. Using the example of a single magnetic defect embedded in the integrable spin-1/2 XXZ chain, we show that locally perturbing… read more here.
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Published in 2022 at "Physical review letters"
DOI: 10.1103/physrevlett.129.170603
Abstract: 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… read more here.
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Published in 2022 at "Physical review letters"
DOI: 10.1103/physrevlett.130.140402
Abstract: The eigenstate thermalization hypothesis (ETH) explains why nonintegrable quantum many-body systems thermalize internally if the Hamiltonian lacks symmetries. If the Hamiltonian conserves one quantity ("charge"), the ETH implies thermalization within a charge sector-in a microcanonical… read more here.