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Title: Confined Quasiparticle Dynamics in Long-Range Interacting Quantum Spin Chains

Abstract

We study the quasiparticle excitation and quench dynamics of the one-dimensional transverse-field Ising model with power-law (1/r α) interactions. We find that long-range interactions give rise to a confining potential, which couples pairs of domain walls (kinks) into bound quasiparticles, analogous to mesonic states in high-energy physics. We show that these quasiparticles have signatures in the dynamics of order parameters following a global quench, and the Fourier spectrum of these order parameters can be exploited as a direct probe of the masses of the confined quasiparticles. We introduce a two-kink model to qualitatively explain the phenomenon of long-range-interaction-induced confinement and to quantitatively predict the masses of the bound quasiparticles. Furthermore, we illustrate that these quasiparticle states can lead to slow thermalization of one-point observables for certain initial states. Lastly, our work is readily applicable to current trapped-ion experiments.

Authors:
 [1];  [1];  [2];  [1];  [1];  [2];  [2]
  1. NIST/Univ. of Maryland, College Park, MD (United States). Joint Quantum Inst.
  2. NIST/Univ. of Maryland, College Park, MD (United States). Joint Quantum Inst. and Joint Center for Quantum Information and Computer Science
Publication Date:
Research Org.:
Duke Univ., Durham, NC (United States); Univ. of Maryland, College Park, MD (United States); Quantum Information Science (QIS)
Sponsoring Org.:
USDOE Office of Science (SC), Basic Energy Sciences (BES) (SC-22). Materials Sciences & Engineering Division; USDOE Office of Science (SC), Basic Energy Sciences (BES) (SC-22)
OSTI Identifier:
1574908
Alternate Identifier(s):
OSTI ID: 1507233
Grant/Contract Number:  
SC0019449
Resource Type:
Accepted Manuscript
Journal Name:
Physical Review Letters
Additional Journal Information:
Journal Volume: 122; Journal Issue: 15; Journal ID: ISSN 0031-9007
Publisher:
American Physical Society (APS)
Country of Publication:
United States
Language:
English
Subject:
71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; Quantum Information Science (QIS)

Citation Formats

Liu, Fangli, Lundgren, Rex, Titum, Paraj, Pagano, Guido, Zhang, Jiehang, Monroe, Christopher, and Gorshkov, Alexey V. Confined Quasiparticle Dynamics in Long-Range Interacting Quantum Spin Chains. United States: N. p., 2019. Web. doi:10.1103/PhysRevLett.122.150601.
Liu, Fangli, Lundgren, Rex, Titum, Paraj, Pagano, Guido, Zhang, Jiehang, Monroe, Christopher, & Gorshkov, Alexey V. Confined Quasiparticle Dynamics in Long-Range Interacting Quantum Spin Chains. United States. doi:10.1103/PhysRevLett.122.150601.
Liu, Fangli, Lundgren, Rex, Titum, Paraj, Pagano, Guido, Zhang, Jiehang, Monroe, Christopher, and Gorshkov, Alexey V. Tue . "Confined Quasiparticle Dynamics in Long-Range Interacting Quantum Spin Chains". United States. doi:10.1103/PhysRevLett.122.150601.
@article{osti_1574908,
title = {Confined Quasiparticle Dynamics in Long-Range Interacting Quantum Spin Chains},
author = {Liu, Fangli and Lundgren, Rex and Titum, Paraj and Pagano, Guido and Zhang, Jiehang and Monroe, Christopher and Gorshkov, Alexey V.},
abstractNote = {We study the quasiparticle excitation and quench dynamics of the one-dimensional transverse-field Ising model with power-law (1/rα) interactions. We find that long-range interactions give rise to a confining potential, which couples pairs of domain walls (kinks) into bound quasiparticles, analogous to mesonic states in high-energy physics. We show that these quasiparticles have signatures in the dynamics of order parameters following a global quench, and the Fourier spectrum of these order parameters can be exploited as a direct probe of the masses of the confined quasiparticles. We introduce a two-kink model to qualitatively explain the phenomenon of long-range-interaction-induced confinement and to quantitatively predict the masses of the bound quasiparticles. Furthermore, we illustrate that these quasiparticle states can lead to slow thermalization of one-point observables for certain initial states. Lastly, our work is readily applicable to current trapped-ion experiments.},
doi = {10.1103/PhysRevLett.122.150601},
journal = {Physical Review Letters},
number = 15,
volume = 122,
place = {United States},
year = {2019},
month = {4}
}

Journal Article:
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