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Operator Hydrodynamics, OTOCs, and Entanglement Growth in Systems without Conservation Laws
- C. Keyserlingk, Tibor Rakovszky, F. Pollmann, S. Sondhi
- Physics
- 24 May 2017
Thermalization and scrambling are the subject of much recent study from the perspective of many-body quantum systems with locally bounded Hilbert spaces (`spin chains'), quantum field theory and…
Absolute stability and spatiotemporal long-range order in Floquet systems
- C. Keyserlingk, V. Khemani, S. Sondhi
- Physics
- 2 May 2016
Recent work has shown that a variety of novel phases of matter arise in periodically driven Floquet systems. Among these are many-body localized phases which spontaneously break global symmetries and…
Three-dimensional topological lattice models with surface anyons
- C. Keyserlingk, F. Burnell, S. Simon
- Physics
- 25 August 2012
We study a class of three dimensional exactly solvable models of topological matter first put forward by Walker and Wang [arXiv:1104.2632v2]. While these are not models of interacting fermions, they…
Diffusive Hydrodynamics of Out-of-Time-Ordered Correlators with Charge Conservation
- Tibor Rakovszky, F. Pollmann, C. Keyserlingk
- PhysicsPhysical Review X
- 26 October 2017
The scrambling of quantum information in closed many-body systems has received considerable recent attention. Two useful measures of scrambling have emerged: the spreading of initially-local…
Phase structure of one-dimensional interacting Floquet systems. I. Abelian symmetry-protected topological phases
- C. Keyserlingk, S. Sondhi
- Physics
- 27 June 2016
Recent work suggests that a sharp definition of `phase of matter' can be given for some quantum systems out of equilibrium---first for many-body localized systems with time independent Hamiltonians…
Observation of discrete time-crystalline order in a disordered dipolar many-body system
- Soonwon Choi, Joonhee Choi, M. Lukin
- PhysicsNature
- 25 October 2016
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Phase structure of one-dimensional interacting Floquet systems. II. Symmetry-broken phases
- C. Keyserlingk, S. Sondhi
- Physics
- 27 June 2016
Recent work suggests that a sharp definition of ``phase of matter'' can be given for periodically driven ``Floquet'' quantum systems exhibiting many-body localization. In this work, we propose a…
Defining time crystals via representation theory
- V. Khemani, C. Keyserlingk, S. Sondhi
- Physics
- 27 December 2016
Time crystals are proposed states of matter which spontaneously break time translation symmetry. There is no settled definition of such states. We offer a new definition which follows the traditional…
Numerical study of a transition between Z 2 topologically ordered phases
- S. Morampudi, C. Keyserlingk, F. Pollmann
- Physics
- 4 March 2014
Distinguishing different topologically ordered phases and characterizing phase transitions between them is a difficult task due to the absence of local order parameters. In this paper, we use a…
Boson condensation in topologically ordered quantum liquids
- T. Neupert, Huan He, C. Keyserlingk, G. Sierra, B. Bernevig
- Mathematics
- 6 January 2016
Boson condensation in topological quantum field theories (TQFT) has been previously investigated through the formalism of Frobenius algebras and the use of vertex lifting coefficients. While general,…
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