Mixeds-sourcery: Building many-body states using bubbles of nothing

Swingle, Brian; McGreevy, John

doi:10.1103/physrevb.94.155125

Title: Mixeds-sourcery: Building many-body states using bubbles of nothing

Journal Article · Mon Oct 17 00:00:00 EDT 2016 · Physical Review. B

DOI:https://doi.org/10.1103/physrevb.94.155125· OSTI ID:1535777

Swingle, Brian ^[1]; McGreevy, John ^[2]

Stanford Univ., Palo Alto, CA (United States)
Univ. of California San Diego, La Jolla, CA (United States)

We recently introduced the idea of s-sourcery [B. Swingle and J. McGreevy, Phys. Rev. B 93, 045127 (2016)], a general formalism for building many-body quantum ground states using renormalization-group-inspired quantum circuits. In this work, we define a generalized notion of s-sourcery that applies to mixed states and study its properties and applicability. For our examples we focus on thermal states of local Hamiltonians. We prove a number of theorems establishing the prevalence of mixed s-source fixed points, giving results for free fermion models, conformal field theories, holographic models, and topological phases. Thermal double states (also called thermofield double states) and the machinery of approximate conditional independence are used heavily in the constructions. For a large class of models we provide an information theoretic argument for the existence of a local Hamiltonian whose ground state is the thermal double state, and in some cases we construct such a Hamiltonian.

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Research Organization:: Univ. of California, San Diego, CA (United States)

Sponsoring Organization:: USDOE Office of Science (SC)

Grant/Contract Number:: SC0009919

OSTI ID:: 1535777

Alternate ID(s):: OSTI ID: 1329091

Journal Information:: Physical Review. B, Vol. 94, Issue 15; ISSN 2469-9950

Publisher:: American Physical Society (APS)Copyright Statement

Country of Publication:: United States

Language:: English

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Cited by: 21 works

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Title: Mixeds-sourcery: Building many-body states using bubbles of nothing

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