skip to main content
OSTI.GOV title logo U.S. Department of Energy
Office of Scientific and Technical Information

Title: Holographic dynamics from multiscale entanglement renormalization ansatz

Authors:
; ; ;
Publication Date:
Sponsoring Org.:
USDOE
OSTI Identifier:
1358295
Grant/Contract Number:
FG02-12ER46875
Resource Type:
Journal Article: Publisher's Accepted Manuscript
Journal Name:
Physical Review B
Additional Journal Information:
Journal Volume: 95; Journal Issue: 19; Related Information: CHORUS Timestamp: 2017-05-23 22:12:34; Journal ID: ISSN 2469-9950
Publisher:
American Physical Society
Country of Publication:
United States
Language:
English

Citation Formats

Chua, Victor, Passias, Vasilios, Tiwari, Apoorv, and Ryu, Shinsei. Holographic dynamics from multiscale entanglement renormalization ansatz. United States: N. p., 2017. Web. doi:10.1103/PhysRevB.95.195152.
Chua, Victor, Passias, Vasilios, Tiwari, Apoorv, & Ryu, Shinsei. Holographic dynamics from multiscale entanglement renormalization ansatz. United States. doi:10.1103/PhysRevB.95.195152.
Chua, Victor, Passias, Vasilios, Tiwari, Apoorv, and Ryu, Shinsei. Tue . "Holographic dynamics from multiscale entanglement renormalization ansatz". United States. doi:10.1103/PhysRevB.95.195152.
@article{osti_1358295,
title = {Holographic dynamics from multiscale entanglement renormalization ansatz},
author = {Chua, Victor and Passias, Vasilios and Tiwari, Apoorv and Ryu, Shinsei},
abstractNote = {},
doi = {10.1103/PhysRevB.95.195152},
journal = {Physical Review B},
number = 19,
volume = 95,
place = {United States},
year = {Tue May 23 00:00:00 EDT 2017},
month = {Tue May 23 00:00:00 EDT 2017}
}

Journal Article:
Free Publicly Available Full Text
This content will become publicly available on May 23, 2018
Publisher's Accepted Manuscript

Citation Metrics:
Cited by: 1work
Citation information provided by
Web of Science

Save / Share:
  • Homogeneous multiscale entanglement renormalization ansatz states have been recently introduced to describe quantum critical systems. Here we present an extensive analysis of the properties of such states by clarifying the definition of their transfer superoperator whose structure is studied within an informational theoretical approach. Explicit expressions for computing the expectation values of symmetric observables are given both in the case of finite size systems and in the thermodynamic limit of infinitely many particles.
  • Cited by 26
  • A holographic derivation of the entanglement entropy in quantum (conformal) field theories is proposed from anti-de Sitter/conformal field theory (AdS/CFT) correspondence. We argue that the entanglement entropy in d+1 dimensional conformal field theories can be obtained from the area of d dimensional minimal surfaces in AdS{sub d+2}, analogous to the Bekenstein-Hawking formula for black hole entropy. We show that our proposal agrees perfectly with the entanglement entropy in 2D CFT when applied to AdS{sub 3}. We also compare the entropy computed in AdS{sub 5}xS{sup 5} with that of the free N=4 super Yang-Mills theory.
  • We search for translationally invariant states of qubits on a ring that maximize the nearest-neighbor entanglement. This problem was initially studied by O'Connor and Wootters [Phys. Rev. A 63, 052302 (2001)]. We first map the problem to the search for the ground state of a spin-1/2 Heisenberg XXZ model. Using the exact Bethe ansatz solution in the limit N{yields}{infinity}, we prove the correctness of the assumption of O'Connor and Wootters that the state of maximal entanglement does not have any pair of neighboring spins 'down' (or, alternatively, spins 'up'). For sufficiently small fixed magnetization, however, the assumption does not hold:more » we identify the region of magnetizations for which the states that maximize the nearest-neighbor entanglement necessarily contain pairs of neighboring spins 'down'.« less
  • We present a model that describes states of photon pairs, which have been generated by biexciton cascade decays of self-assembled quantum dots, the use of which yields a finding that agrees well with the experimental result. Furthermore, we calculate the concurrence and determine the temperature behavior associated with the so-called entanglement sudden death that prevents quantum dots emitting entangled photon pairs at raised temperatures. The relationship between the fine-structure splitting and the sudden death temperature is also provided.