2022
DOI: 10.22331/q-2022-02-02-642
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Eigenstate entanglement scaling for critical interacting spin chains

Abstract: With increasing subsystem size and energy, bipartite entanglement entropies of energy eigenstates cross over from the groundstate scaling to a volume law. In previous work, we pointed out that, when strong or weak eigenstate thermalization (ETH) applies, the entanglement entropies of all or, respectively, almost all eigenstates follow a single crossover function. The crossover functions are determined by the subsystem entropy of thermal states and assume universal scaling forms in quantum-critical regimes. Thi… Show more

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Cited by 10 publications
(5 citation statements)
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“…Quantum algorithms [1][2][3][4][5][6][7] and quantum computing [8][9][10][11][12] need entanglement. Other impressive aspects of the modern entanglement problem have been intensively studied recently [13][14][15][16][17][18][19][20][21][22].…”
Section: Introductionmentioning
confidence: 99%
“…Quantum algorithms [1][2][3][4][5][6][7] and quantum computing [8][9][10][11][12] need entanglement. Other impressive aspects of the modern entanglement problem have been intensively studied recently [13][14][15][16][17][18][19][20][21][22].…”
Section: Introductionmentioning
confidence: 99%
“…Entanglement is considered as one of the most fundamental building blocks in quantum physics and quantum information processing. Specifically, the Rényi entanglement entropy measures the quantum correlations between two subsystems under a spatial bipartition [1][2][3][4], which has become an important and popular concept for detecting measurement-induced entanglement transitions [5][6][7], characterizing many-body dynamics and localization [8][9][10][11][12][13][14][15][16][17], and classifying the topology of quantum systems [18][19][20][21]. Recently, the Rényi entanglement entropy has been efficiently measured in the laboratory with randomized methods without full quantum state tomography [22][23][24].…”
Section: Introductionmentioning
confidence: 99%
“…Quantum algorithms [1][2][3][4][5][6][7] and quantum computing [8][9][10][11][12] need entanglement. Other impressive aspects of the modern entanglement problem have been intensively studied recently [13][14][15][16][17][18][19][20][21][22].…”
Section: Introductionmentioning
confidence: 99%