Adiabatic freezing of entanglement with insertion of defects in a one-dimensional Hubbard model

Title: Adiabatic freezing of entanglement with insertion of defects in a one-dimensional Hubbard model
Authors: Das, S
Roy, SS
Dhar, HS
Rakshit, D
Sen(de), A
Sen, U
Item Type: Journal Article
Abstract: We report on ground state phases of a doped one-dimensional Hubbard model, which for large onsite interactions is governed by the t − J Hamiltonian, where the extant entanglement is immutable under perturbative or sudden changes of system parameters, a phenomenon termed as adiabatic freezing. We observe that in the metallic Luttinger liquid phase of the model bipartite entanglement decays polynomially and is adiabatically frozen, in contrast to the variable, exponential decay in the phase-separation and superconducting spin-gap phases. Significantly, at low fixed electron densities, the spin-gap phase shows remarkable affinity to doped resonating valence bond gas, with multipartite entanglement frozen across all parameter space. We note that entanglement, in general, is sensitive to external perturbation, as observed in several systems, and hitherto, no such invariance or freezing behavior has been reported.
Issue Date: 13-Sep-2018
Date of Acceptance: 1-Sep-2018
URI: http://hdl.handle.net/10044/1/72889
DOI: https://doi.org/10.1103/PhysRevB.98.125125
ISSN: 1098-0121
Publisher: American Physical Society
Start Page: 125125-1
End Page: 125125-7
Journal / Book Title: Physical review B: Condensed matter and materials physics
Volume: 98
Issue: 12
Copyright Statement: ©2018 American Physical Society.
Keywords: Science & Technology
Technology
Physical Sciences
Materials Science, Multidisciplinary
Physics, Applied
Physics, Condensed Matter
Materials Science
Physics
MATRIX PRODUCT STATES
SPIN-GAP PHASE
RENORMALIZATION-GROUP
SUDDEN-DEATH
QUANTUM
SEPARABILITY
SEPARATION
DYNAMICS
DIAGRAM
Science & Technology
Technology
Physical Sciences
Materials Science, Multidisciplinary
Physics, Applied
Physics, Condensed Matter
Materials Science
Physics
MATRIX PRODUCT STATES
SPIN-GAP PHASE
RENORMALIZATION-GROUP
SUDDEN-DEATH
QUANTUM
SEPARABILITY
SEPARATION
DYNAMICS
DIAGRAM
quant-ph
quant-ph
cond-mat.quant-gas
cond-mat.str-el
Publication Status: Published
Article Number: ARTN 125125
Online Publication Date: 2018-09-13
Appears in Collections:Quantum Optics and Laser Science
Physics



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