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      Holographic Quantum Circuits from Splitting/Joining Local Quenches

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          Abstract

          We study three different types of local quenches (local operator, splitting and joining) in both the free fermion and holographic CFTs in two dimensions. We show that the computation of a quantity called entanglement density, provides a systematic method to capture essential properties of local quenches. This allows us to clearly understand the differences between the free and holographic CFTs as well as the distinctions between three local quenches. We also analyze holographic geometries of splitting/joining local quenches using the AdS/BCFT prescription. We show that they are essentially described by time evolutions of boundary surfaces in the bulk AdS. We find that the logarithmic time evolution of entanglement entropy arises from the region behind the Poincare horizon as well as the evolutions of boundary surfaces. In the CFT side, our analysis of entanglement density suggests such a logarithmic growth is due to initial non-local quantum entanglement just after the quench. Finally, by combining our results, we propose a new class of gravity duals, which are analogous to quantum circuits or tensor networks such as MERA, based on the AdS/BCFT construction.

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          Most cited references 21

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            Boundary conditions, fusion rules and the Verlinde formula

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              THE BOUNDARY AND CROSSCAP STATES IN CONFORMAL FIELD THEORIES

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                Author and article information

                Journal
                03 December 2018
                Article
                1812.01176

                http://arxiv.org/licenses/nonexclusive-distrib/1.0/

                Custom metadata
                YITP-18-122, IPMU18-0197
                56 pages, 28 figures
                hep-th cond-mat.stat-mech

                Condensed matter, High energy & Particle physics

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