Fetching the paper…
Reading the bibliography…
Eigenstates of local many-body interacting systems that are far from spectral edges are thought to be ergodic and close to being random states.
J. M. Deutsch, “Quantum statistical mechanics in a closed system,” Phys. Rev. A 43
1991
Earlier work this paper cites.
Don N. Page, “Average entropy of a subsystem,” Phys. Rev. Lett. 71
1993
Earlier work this paper cites.
Mark Srednicki, “Chaos and quantum thermalization,” Phys. Rev. E 50
1994
Earlier work this paper cites.
Alexander D. Mirlin, Yan V. Fyodorov, Frank-Michael Dittes, Javier Quezada, and Thomas H. Seligman, “Transition from localized to extended eigenstates in the ensemble of power-law random banded matrices,” Phys. Rev. E 54
1996
Earlier work this paper cites.
V. E. Kravtsov and K. A. Muttalib, “New class of random matrix ensembles with multifractal eigenvectors,” Phys. Rev. Lett. 79
1997
Earlier work this paper cites.
Hal Tasaki, “From quantum dynamics to the canonical distribution: General picture and a rigorous example,” Phys. Rev. Lett. 80
1998
Earlier work this paper cites.
Imre Varga and Daniel Braun, “Critical statistics in a power-law random-banded matrix ensemble,” Phys. Rev. B 61
2000
Earlier work this paper cites.
A. D. Mirlin and F. Evers, “Multifractality and critical fluctuations at the anderson transition,” Phys. Rev. B 62
2000
Earlier work this paper cites.
Jochen Gemmer, Alexander Otte, and Günter Mahler, “Quantum approach to a derivation of the second law of thermodynamics,” Phys. Rev. Lett. 86
2001
Earlier work this paper cites.
2002
Earlier work this paper cites.
Carlos Mejía-Monasterio, Guliano Benenti, Gabriel G. Carlo, and Giulio Casati, “Entanglement across a transition to quantum chaos,” Phys. Rev. A 71
2005
Earlier work this paper cites.
Sheldon Goldstein, Joel L. Lebowitz, Roderich Tumulka, and Nino Zanghì, “Canonical typicality,” Phys. Rev. Lett. 96
2006
Earlier work this paper cites.
Sandu Popescu, Anthony J Short, and Andreas Winter, “Entanglement and the foundations of statistical mechanics,” Nature Physics 2
2006
Earlier work this paper cites.
J. P. Keating, F. Mezzadri, and M. Novaes, “Comb entanglement in quantum spin chains,” Phys. Rev. A 74
2006
Earlier work this paper cites.
Yan Chen, Paolo Zanardi, ZD Wang, and FC Zhang, “Sublattice entanglement and quantum phase transitions in antiferromagnetic spin chains,” New Journal of Physics 8
2006
Earlier work this paper cites.
A Sugita, “On the basis of quantum statistical mechanics,” Nonlinear. Phenom. Complex Syst. 10
2007
Earlier work this paper cites.
Peter Reimann, “Typicality for generalized microcanonical ensembles,” Phys. Rev. Lett. 99
2007
Earlier work this paper cites.
M Rigol, V Dunjko, and M Olshanii, “Thermalization and its mechanism for generic isolated quantum systems.” Nature 452
2008
Earlier work this paper cites.
Luigi Amico, Rosario Fazio, Andreas Osterloh, and Vlatko Vedral, “Entanglement in many-body systems,” Rev. Mod. Phys. 80
2008
Earlier work this paper cites.
Ferdinand Evers and Alexander D. Mirlin, “Anderson transitions,” Rev. Mod. Phys. 80
2008
Earlier work this paper cites.
J. Gemmer, M. Michel, and G. Mahler, Quantum Thermodynamics: Emergence of Thermodynamic Behavior Within Composite Quantum Systems , Lecture Notes in Physics, Vol. 784 (Springer Berlin Heidelberg, 2009)
2009
Earlier work this paper cites.
Steven R. White, “Minimally entangled typical quantum states at finite temperature,” Phys. Rev. Lett. 102
2009
Earlier work this paper cites.
B.M. McCoy, Advanced Statistical Mechanics , International series of monographs on physics (Oxford University Press, 2009)
2009
Earlier work this paper cites.
Yan V Fyodorov, Alexander Ossipov, and Alberto Rodriguez, “The anderson localization transition and eigenfunction multifractality in an ensemble of ultrametric random matrices,” Journal of Statistical Mechanics: Theory and Experiment 2009
2009
Earlier work this paper cites.
Vincenzo Alba, Maurizio Fagotti, and Pasquale Calabrese, “Entanglement entropy of excited states,” J. Stat. Mech. 2009
2009
Earlier work this paper cites.
Sheldon Goldstein, Joel L Lebowitz, Roderich Tumulka, and Nino Zanghi, “Long-time behavior of macroscopic quantum systems,” The European Physical Journal H 35
2010
Earlier work this paper cites.
John von Neumann, “Proof of the ergodic theorem and the h-theorem in quantum mechanics,” The European Physical Journal H 35
2010
Earlier work this paper cites.
J. Eisert, M. Cramer, and M. B. Plenio, “Colloquium: Area laws for the entanglement entropy,” Rev. Mod. Phys. 82
2010
Earlier work this paper cites.
Ferenc Iglói and Ingo Peschel, “On reduced density matrices for disjoint subsystems,” EPL (Europhysics Letters) 89
2010
Earlier work this paper cites.
JM Deutsch, “Thermodynamic entropy of a many-body energy eigenstate,” New Journal of Physics 12
2010
Earlier work this paper cites.
R. Rossignoli, N. Canosa, and J. M. Matera, “Even-odd entanglement in boson and spin systems,” Phys. Rev. A 83
2011
Earlier work this paper cites.
E. Bogomolny and O. Giraud, “Eigenfunction entropy and spectral compressibility for critical random matrix ensembles,” Phys. Rev. Lett. 106
2011
Earlier work this paper cites.
I Rushkin, A Ossipov, and YV Fyodorov, “Universal and non-universal features of the multifractality exponents of critical wavefunctions,” Journal of Statistical Mechanics: Theory and Experiment 2011
2011
Earlier work this paper cites.
Francisco Castilho Alcaraz, Miguel Ibáñez Berganza, and Germán Sierra, “Entanglement of low-energy excitations in conformal field theory,” Phys. Rev. Lett. 106
2011
Earlier work this paper cites.
Sho Sugiura and Akira Shimizu, “Thermal pure quantum states at finite temperature,” Phys. Rev. Lett. 108
2012
Earlier work this paper cites.
JA Mendez-Bermudez, A Alcazar-Lopez, and Imre Varga, “Multifractal dimensions for critical random matrix ensembles,” EPL (Europhysics Letters) 98
2012
Earlier work this paper cites.
Lea F. Santos, Anatoli Polkovnikov, and Marcos Rigol, “Weak and strong typicality in quantum systems,” Phys. Rev. E 86
2012
Earlier work this paper cites.
Sho Sugiura and Akira Shimizu, “Canonical thermal pure quantum state,” Phys. Rev. Lett. 111
2013
Earlier work this paper cites.
Tarek A. Elsayed and Boris V. Fine, “Regression relation for pure quantum states and its implications for efficient computing,” Phys. Rev. Lett. 110
2013
Earlier work this paper cites.
J. M. Deutsch, Haibin Li, and Auditya Sharma, “Microscopic origin of thermodynamic entropy in isolated systems,” Phys. Rev. E 87
2013
Cited alongside, same era.
Jan Mölter, Thomas Barthel, Ulrich Schollwöck, and Vincenzo Alba, “Bound states and entanglement in the excited states of quantum spin chains,” Journal of Statistical Mechanics: Theory and Experiment 2014
2014
Cited alongside, same era.
F. Ares, J. G. Esteve, F. Falceto, and E. Sánchez-Burillo, “Excited state entanglement in homogeneous fermionic chains,” J. Phys. A: Math. Theor. 47
2014
Cited alongside, same era.
Michelle Storms and Rajiv R. P. Singh, “Entanglement in ground and excited states of gapped free-fermion systems and their relationship with fermi surface and thermodynamic equilibrium properties,” Phys. Rev. E 89
2014
Cited alongside, same era.
Olalla A. Castro-Alvaredo, Cecilia De Fazio, Benjamin Doyon, and István M. Szécsényi, “Entanglement content of quasiparticle excitations,” Phys. Rev. Lett. 121
2018
Later among the works it cites.
Hiroyuki Endo, Chisa Hotta, and Akira Shimizu, “From linear to nonlinear responses of thermal pure quantum states,” Phys. Rev. Lett. 121
2018
Later among the works it cites.
Seulgi Ok, Kenny Choo, Christopher Mudry, Claudio Castelnovo, Claudio Chamon, and Titus Neupert, “Topological many-body scar states in dimensions one, two, and three,” Phys. Rev. Research 1
2019
Later among the works it cites.
Tyler LeBlond, Krishnanand Mallayya, Lev Vidmar, and Marcos Rigol, “Entanglement and matrix elements of observables in interacting integrable systems,” Phys. Rev. E 100
2019
Later among the works it cites.
Arnd Bäcker, Masudul Haque, and Ivan M Khaymovich, “Multifractal dimensions for random matrices, chaotic quantum maps, and many-body systems,” Phys. Rev. E 100
alphaXiv searches the wider corpus for related work and actual follow-ups.
alphaXiv is searching for related work…
2014
Cited alongside, same era.
Takaaki Monnai and Ayumu Sugita, “Typical pure states and nonequilibrium processes in quantum many-body systems,” Journal of the Physical Society of Japan 83
2014
Cited alongside, same era.
Peter Reimann, “Eigenstate thermalization: Deutsch’s approach and beyond,” New Journal of Physics 17
2015
Cited alongside, same era.
W Beugeling, A Andreanov, and Masudul Haque, “Global characteristics of all eigenstates of local many-body hamiltonians: participation ratio and entanglement entropy,” Journal of Statistical Mechanics: Theory and Experiment 2015
2015
Cited alongside, same era.
Liangsheng Zhang, Hyungwon Kim, and David A. Huse, “Thermalization of entanglement,” Phys. Rev. E 91
2015
Cited alongside, same era.
Hsin-Hua Lai and Kun Yang, “Entanglement entropy scaling laws and eigenstate typicality in free fermion systems,” Phys. Rev. B 91
2015
Cited alongside, same era.
Vincenzo Alba, “Eigenstate thermalization hypothesis and integrability in quantum spin chains,” Phys. Rev. B 91
2015
Cited alongside, same era.
Robin Steinigeweg, Jochen Gemmer, and Wolfram Brenig, “Spin and energy currents in integrable and nonintegrable spin- 1 2 \frac{1}{2} chains: A typicality approach to real-time autocorrelations,” Phys. Rev. B 91
2015
Cited alongside, same era.
2019
Later among the works it cites.
Giuseppe De Tomasi, “Algebraic many-body localization and its implications on information propagation,” Phys. Rev. B 99
2019
Later among the works it cites.
Didier A. Vega-Oliveros, J. A. Méndez-Bermúdez, and Francisco A. Rodrigues, “Multifractality in random networks with power-law decaying bond strengths,” Phys. Rev. E 99
2019
Later among the works it cites.
P. A. Nosov, I. M. Khaymovich, and V. E. Kravtsov, “Correlation-induced localization,” Physical Review B 99
2019
Later among the works it cites.
Ivan M. Khaymovich, Masudul Haque, and Paul A. McClarty, “Eigenstate thermalization, random matrix theory, and behemoths,” Phys. Rev. Lett. 122
2019
Later among the works it cites.
Chaitanya Murthy and Mark Srednicki, “Structure of chaotic eigenstates and their entanglement entropy,” Phys. Rev. E 100
2019
Later among the works it cites.
H. Wilming, M. Goihl, I. Roth, and J. Eisert, “Entanglement-ergodic quantum systems equilibrate exponentially well,” Phys. Rev. Lett. 123
2019
Later among the works it cites.
Yichen Huang, “Universal eigenstate entanglement of chaotic local hamiltonians,” Nuclear Physics B 938
2019
Later among the works it cites.
Yichen Huang and Yingfei Gu, “Eigenstate entanglement in the Sachdev-Ye-Kitaev model,” Phys. Rev. D 100
2019
Later among the works it cites.
Tsung-Cheng Lu and Tarun Grover, “Renyi entropy of chaotic eigenstates,” Phys. Rev. E 99
2019
Later among the works it cites.
Lucas Hackl, Lev Vidmar, Marcos Rigol, and Eugenio Bianchi, “Average eigenstate entanglement entropy of the XY chain in a transverse field and its universality for translationally invariant quadratic fermionic models,” Phys. Rev. B 99
2019
Later among the works it cites.
Arash Jafarizadeh and M. A. Rajabpour, “Bipartite entanglement entropy of the excited states of free fermions and harmonic oscillators,” Phys. Rev. B 100
2019
Later among the works it cites.
P. A. Nosov and I. M. Khaymovich, “Robustness of delocalization to the inclusion of soft constraints in long-range random models,” Phys. Rev. B 99
2019
Later among the works it cites.
Kouki Inoue, Yuto Maeda, Hiroki Nakano, and Yoshiyuki Fukumoto, “Canonical-ensemble calculations of the magnetic susceptibility for a spin-1/2 spherical kagome cluster with Dzyaloshinskii–Moriya interactions by using microcanonical thermal pure quantum states,” IEEE Transactions on Magnetics 55
2019
Later among the works it cites.
Jonas Richter and Robin Steinigeweg, “Combining dynamical quantum typicality and numerical linked cluster expansions,” Phys. Rev. B 99
2019
Later among the works it cites.
I. Rousochatzakis, S. Kourtis, J. Knolle, R. Moessner, and N. B. Perkins, “Quantum spin liquid at finite temperature: Proximate dynamics and persistent typicality,” Phys. Rev. B 100
2019
Later among the works it cites.
Thomas Iadecola and Michael Schecter, “Quantum many-body scar states with emergent kinetic constraints and finite-entanglement revivals,” Phys. Rev. B 101
2020
Closest in time.
Daniel K. Mark, Cheng-Ju Lin, and Olexei I. Motrunich, “Unified structure for exact towers of scar states in the Affleck-Kennedy-Lieb-Tasaki and other models,” Phys. Rev. B 101
2020
Closest in time.
Naoyuki Shibata, Nobuyuki Yoshioka, and Hosho Katsura, “Onsager’s scars in disordered spin chains,” Phys. Rev. Lett. 124
2020
Closest in time.
Sambuddha Chattopadhyay, Hannes Pichler, Mikhail D. Lukin, and Wen Wei Ho, “Quantum many-body scars from virtual entangled pairs,” Phys. Rev. B 101
2020
Closest in time.
Daniel K. Mark and Olexei I. Motrunich, “ η \eta -pairing states as true scars in an extended hubbard model,” Phys. Rev. B 102
2020
Closest in time.
Paul A. McClarty, Masudul Haque, Arnab Sen, and Johannes Richter, “Disorder-free localization and many-body quantum scars from magnetic frustration,” Phys. Rev. B 102
2020
Closest in time.
David J. Luitz, Ivan M. Khaymovich, and Yevgeny Bar Lev, “Multifractality and its role in anomalous transport in the disordered XXZ spin-chain,” SciPost Phys. Core 2
2020
Closest in time.
Giuseppe De Tomasi and Ivan M. Khaymovich, “Multifractality meets entanglement: Relation for nonergodic extended states,” Phys. Rev. Lett. 124
2020
Closest in time.
Patrycja Łydżba, Marcos Rigol, and Lev Vidmar, “Eigenstate entanglement entropy in random quadratic hamiltonians,” Phys. Rev. Lett. 125
2020
Closest in time.
S. C. Morampudi, A. Chandran, and C. R. Laumann, “Universal entanglement of typical states in constrained systems,” Phys. Rev. Lett. 124
2020
Closest in time.
Kazuya Kaneko, Eiki Iyoda, and Takahiro Sagawa, “Characterizing complexity of many-body quantum dynamics by higher-order eigenstate thermalization,” Phys. Rev. A 101
2020
Closest in time.
A. G. Kutlin and I. M. Khaymovich, “Renormalization to localization without a small parameter,” SciPost Phys. 8
2020
Closest in time.
Hisao Nishida, Ryo Fujiuchi, Koudai Sugimoto, and Yukinori Ohta, “Typicality-based variational cluster approach to thermodynamic properties of the Hubbard model,” Journal of the Physical Society of Japan 89
2020
Closest in time.
Giuseppe De Tomasi, Soumya Bera, Antonello Scardicchio, and Ivan M. Khaymovich, “Subdiffusion in the Anderson model on the random regular graph,” Phys. Rev. B 101
2020
Closest in time.
I. M. Khaymovich, V. E. Kravtsov, B. L. Altshuler, and L. B. Ioffe, “Fragile extended phases in the log-normal rosenzweig-porter model,” Phys. Rev. Research 2
2020
Closest in time.
Qiang Miao and Thomas Barthel, “Eigenstate entanglement: Crossover from the ground state to volume laws,” Phys. Rev. Lett. 127
2021
Closest in time.
Thomas Barthel and Qiang Miao, “Scaling functions for eigenstate entanglement crossovers in harmonic lattices,” Phys. Rev. A 104
2021
Closest in time.
Yichen Huang, “Universal entanglement of mid-spectrum eigenstates of chaotic local hamiltonians,” Nuclear Physics B 966
2021
Closest in time.