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/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.
- Authors:
-
- NIST/Univ. of Maryland, College Park, MD (United States). Joint Quantum Inst.
- 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)
- 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. https://doi.org/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. https://doi.org/10.1103/PhysRevLett.122.150601. https://www.osti.gov/servlets/purl/1574908.
@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 = {Tue Apr 16 00:00:00 EDT 2019},
month = {Tue Apr 16 00:00:00 EDT 2019}
}
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