Phenomenology of fully many-body-localized systems
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In this article, the authors consider fully many-body-localized systems, i.e., isolated quantum systems where all the manybody eigenstates of the Hamiltonian are localized, and define a sense in which such systems are integrable with localized conserved operators.Abstract:
We consider fully many-body-localized systems, i.e., isolated quantum systems where all the many-body eigenstates of the Hamiltonian are localized. We define a sense in which such systems are integrable, with localized conserved operators. These localized operators are interacting pseudospins, and the Hamiltonian is such that unitary time evolution produces dephasing but not ``flips'' of these pseudospins. As a result, an initial quantum state of a pseudospin can in principle be recovered via (pseudospin) echo procedures. We discuss how the exponentially decaying interactions between pseudospins lead to logarithmic-in-time spreading of entanglement starting from nonentangled initial states. These systems exhibit multiple different length scales that can be defined from exponential functions of distance; we suggest that some of these decay lengths diverge at the phase transition out of the fully many-body-localized phase while others remain finite.read more
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Observation of many-body localization of interacting fermions in a quasirandom optical lattice
Michael Schreiber,Sean Hodgman,Pranjal Bordia,Henrik P. Lüschen,Mark H. Fischer,Ronen Vosk,Ehud Altman,Ulrich Schneider,Immanuel Bloch +8 more
TL;DR: This experiment experimentally observed this nonergodic evolution for interacting fermions in a one-dimensional quasirandom optical lattice and identified the MBL transition through the relaxation dynamics of an initially prepared charge density wave.
Journal ArticleDOI
Colloquium: Many-body localization, thermalization, and entanglement
TL;DR: Theoretically, many-body localized (MBL) systems exhibit a new kind of robust integrability: an extensive set of quasilocal integrals of motion emerges, which provides an intuitive explanation of the breakdown of thermalization as mentioned in this paper.
Journal ArticleDOI
Exploring the many-body localization transition in two dimensions
Jae-yoon Choi,Sebastian Hild,Johannes Zeiher,Peter Schauß,Antonio Rubio-Abadal,Tarik Yefsah,Vedika Khemani,David A. Huse,David A. Huse,Immanuel Bloch,Immanuel Bloch,Christian Gross +11 more
TL;DR: The observation of a many-body localization transition between thermal and localized phases for bosons in a two-dimensional disordered optical lattice is reported, highlighting the power of quantum simulation to solve problems that are currently inaccessible to classical computing techniques.
Journal ArticleDOI
Weak ergodicity breaking from quantum many-body scars
Christopher J. Turner,Alexios Michailidis,Alexios Michailidis,Dmitry A. Abanin,Maksym Serbyn,Zlatko Papic +5 more
TL;DR: In this article, it was shown that ergodicity can be weakly broken by the presence of special eigenstates in the many-body spectrum that are reminiscent of quantum scars in chaotic non-interacting systems.
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Equilibration, thermalisation, and the emergence of statistical mechanics in closed quantum systems.
Christian Gogolin,Jens Eisert +1 more
TL;DR: This work reviews selected advances in the theoretical understanding of complex quantum many-body systems with regard to emergent notions of quantum statistical mechanics and elucidate the role played by key concepts, such as Lieb-Robinson bounds, entanglement growth, typicality arguments, quantum maximum entropy principles and the generalised Gibbs ensembles.
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