On entanglement spreading in chaotic systems
Márk Mezei,Douglas Stanford +1 more
TLDR
In this article, the authors discuss the time dependence of subsystem entropies in interacting quantum systems and suggest that the entropy is as large as possible given two constraints: one follows from the existence of an emergent light cone, and the other is a conjecture associated to the entanglement velocity.Abstract:
We discuss the time dependence of subsystem entropies in interacting quantum systems. As a model for the time dependence, we suggest that the entropy is as large as possible given two constraints: one follows from the existence of an emergent light cone, and the other is a conjecture associated to the “entanglement velocity” v
E
. We compare this model to new holographic and spin chain computations, and to an operator growth picture. Finally, we introduce a second way of computing the emergent light cone speed in holographic theories that provides a boundary dynamics explanation for a special case of entanglement wedge subregion duality in AdS/CFT.read more
Citations
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Operator Hydrodynamics, OTOCs, and Entanglement Growth in Systems without Conservation Laws
TL;DR: In this article, the authors show that the spreading of operators in random circuits is described by a hydrodynamical equation of motion, despite the fact that random unitary circuits do not have locally conserved quantities (e.g., no conserved energy).
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Moving the CFT into the bulk with $$ T\overline{T} $$
TL;DR: In this paper, the authors proposed that in the holographic dual, this deformation represents a geometric cutoff that removes the asymptotic region of AdS and places the QFT on a Dirichlet wall at finite radial distance r = rc in the bulk.
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Operator Spreading in Random Unitary Circuits
TL;DR: In this article, the authors provide exact results and coarse-grained models for the spreading of operators by quantum circuits made of Haar-random unitaries in both 1+1D and higher dimensions.
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Quantum Zeno effect and the many-body entanglement transition
TL;DR: In this paper, a hybrid quantum circuit model consisting of both unitary gates and projective measurements is introduced, where the measurements are made at random positions and times throughout the system.
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Operator Spreading in Random Unitary Circuits
References
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Holographic Derivation of Entanglement Entropy from the anti de Sitter Space/Conformal Field Theory Correspondence
Shinsei Ryu,Tadashi Takayanagi +1 more
TL;DR: It is argued that the entanglement entropy in d + 1 dimensional conformal field theories can be obtained from the area of d dimensional minimal surfaces in AdS(d+2), analogous to the Bekenstein-Hawking formula for black hole entropy.
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A covariant holographic entanglement entropy proposal
TL;DR: In this paper, a covariant generalization of the holographic entanglement entropy proposal of hep-th/0603001 is proposed to understand the time-dependence of entropy in generic quantum field theories.
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Black holes and the butterfly effect
TL;DR: In this article, the authors used holography to study sensitive dependence on initial conditions in strongly coupled field theories and showed that the effect of the early infalling quanta relative to the t = 0 slice creates a shock wave that destroys the local two-sided correlations present in the unperturbed state.
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The Finite Group Velocity of Quantum Spin Systems
TL;DR: In this paper, it was shown that information can propagate in a quantum spin system only with a finite group velocity, where μ(ν) > 0, where ρ is the group velocity.
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Evolution of entanglement entropy in one-dimensional systems
Pasquale Calabrese,John Cardy +1 more
TL;DR: In this paper, the authors studied the unitary time evolution of the entropy of entanglement of a one-dimensional system between the degrees of freedom in an interval of length and its complement, starting from a pure state which is not an eigenstate of the Hamiltonian.