2.4k citations · 12.9k across the 102 of their papers we have counts for
27 papers · 1 filter
Topologically stable ergodicity breaking from emergent higher-form symmetries in generalized quantum loop models
Charles Stahl, Rahul Nandkishore, Oliver Hart
We present a set of generalized quantum loop models which provably exhibit topologically stable ergodicity breaking. These results hold for both periodic and open boundary conditio…
Fracton superfluid hydrodynamics
Charles Stahl, Marvin Qi, Paolo Glorioso +2
We examine the hydrodynamics of systems with spontaneously broken multipolar symmetries using a systematic effective field theory. We focus on the simplest non-trivial setting: a s…
Ergodicity breaking provably robust to arbitrary perturbations
David T. Stephen, Oliver Hart, Rahul M. Nandkishore
We present a new route to ergodicity breaking via Hilbert space fragmentation that displays an unprecedented level of robustness. Our construction relies on a single emergent (pret…
Hilbert space shattering and dynamical freezing in the quantum Ising model
Oliver Hart, Rahul Nandkishore
We discuss quantum dynamics in the transverse field Ising model in two spatial dimensions. We show that, up to a prethermal timescale, which we quantify, the Hilbert space 'shatter…
Spontaneous breaking of multipole symmetries
Charles Stahl, Ethan Lake, Rahul Nandkishore
Multipole symmetries are of interest both as a window on fracton physics and as a crucial ingredient in realizing new universality classes for quantum dynamics. Here we address the…
Hidden quasiconservation laws in fracton hydrodynamics
Oliver Hart, Andrew Lucas, Rahul Nandkishore
We show that the simplest universality classes of fracton hydrodynamics in more than one spatial dimension, including isotropic theories of charge and dipole conservation, can exhi…
Multipole conservation laws and subdiffusion in any dimension
Jason Iaconis, Andrew Lucas, Rahul Nandkishore
Subdiffusion is a generic feature of chaotic many-body dynamics with multipole conservation laws and subsystem symmetries. We numerically study this subdiffusive dynamics, using qu…
Hydrodynamics in lattice models with continuous non-Abelian symmetries
Paolo Glorioso, Luca V. Delacrétaz, Xiao Chen +2
We develop a systematic effective field theory of hydrodynamics for many-body systems on the lattice with global continuous non-Abelian symmetries. Models with continuous non-Abeli…
Quantum butterfly effect in polarized Floquet systems
Xiao Chen, Rahul M. Nandkishore, Andrew Lucas
We explore quantum dynamics in Floquet many-body systems with local conservation laws in one spatial dimension, focusing on sectors of the Hilbert space which are highly polarized.…
Localization from Hilbert space shattering: from theory to physical realizations
Vedika Khemani, Michael Hermele, Rahul M. Nandkishore
We show how a finite number of conservation laws can globally `shatter' Hilbert space into exponentially many dynamically disconnected subsectors, leading to an unexpected dynamics…
Anomalous Subdiffusion from Subsystem Symmetries
Jason Iaconis, Sagar Vijay, Rahul Nandkishore
We introduce quantum circuits in two and three spatial dimensions which are classically simulable, despite producing a high degree of operator entanglement. We provide a partial ch…
Local constraints can globally shatter Hilbert space: a new route to quantum information protection
Vedika Khemani, Rahul Nandkishore
We show how local constraints can globally "shatter" Hilbert space into subsectors, leading to an unexpected dynamics with features reminiscent of both many body localization and q…
Unitary-projective entanglement dynamics
Amos Chan, Rahul M. Nandkishore, Michael Pretko +1
Starting from a state of low quantum entanglement, local unitary time evolution increases the entanglement of a quantum many-body system. In contrast, local projective measurements…
Localization in fractonic random circuits
Shriya Pai, Michael Pretko, Rahul M. Nandkishore
We study the spreading of initially-local operators under unitary time evolution in a 1d random quantum circuit model which is constrained to conserve a charge and its dipol…
Localization of Extended Quantum Objects
Michael Pretko, Rahul M. Nandkishore
A quantum system of particles can exist in a localized phase, exhibiting ergodicity breaking and maintaining forever a local memory of its initial conditions. We generalize this co…
Glassy quantum dynamics in translation invariant fracton models
Abhinav Prem, Jeongwan Haah, Rahul Nandkishore
We investigate relaxation in the recently discovered "fracton" models and discover that these models naturally host glassy quantum dynamics in the absence of quenched disorder. We…
Emergent local integrals of motion without a complete set of localized eigenstates
Scott D. Geraedts, R. N. Bhatt, Rahul Nandkishore
Systems where all energy eigenstates are localized are known to display an emergent local integrability, in the sense that one can construct an extensive number of operators that c…
Many body localization and thermalization: insights from the entanglement spectrum
Scott D. Geraedts, Rahul Nandkishore, Nicolas Regnault
We study the entanglement spectrum in the many body localizing and thermalizing phases of one and two dimensional Hamiltonian systems, and periodically driven `Floquet' systems. We…
Floquet Thermalization: Symmetries and Random Matrix Ensembles
N. Regnault, Rahul Nandkishore
We investigate the role of symmetries in determining the random matrix class describing quantum thermalization in a periodically driven many body quantum system. Using a combinatio…
A many body localization proximity effect
Rahul Nandkishore
We examine what happens when a strongly many body localized system is coupled to a weak heat bath, with both system and bath containing similar numbers of degrees of freedom. Previ…
Many body localization and delocalization in the two dimensional continuum
Rahul Nandkishore
I discuss whether localization in the two dimensional continuum can be stable in the presence of short range interactions. I conclude that, for an impurity model of disorder, if th…
Phenomenology of fully many-body-localized systems
David A. Huse, Rahul Nandkishore, Vadim Oganesyan
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 s…
Marginal Anderson localization and many body delocalization
Rahul Nandkishore, Andrew C. Potter
We consider d dimensional systems which are localized in the absence of interactions, but whose single particle (SP) localization length diverges near a discrete set of (single-par…
Rare region effects dominate weakly disordered 3D Dirac points
Rahul Nandkishore, David A. Huse, S. L. Sondhi
We study three-dimensional Dirac fermions with weak finite-range scalar potential disorder. In the clean system, the density of states vanishes quadratically at the Dirac point. Di…