Journal Article PUBDB-2023-01184

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Crystalline phases at finite winding densities in a quantum link ladder

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2023
Inst. Woodbury, NY

Physical review / D 107(3), L031504 () [10.1103/PhysRevD.107.L031504]
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Report No.: arXiv:2208.01964

Abstract: Condensed matter physics of gauge theories coupled to fermions can exhibit a rich phase structure, but are nevertheless very difficult to study in Monte Carlo simulations when they are afflicted by a sign problem. As an alternate approach, we use tensor network methods to explore the finite density physics of Abelian gauge theories without dynamical matter. As a concrete example, we consider the U(1) gauge invariant quantum link ladder with spin-12 gauge fields in an external electric field, which causes the winding electric fluxes to condense in the ground state. We demonstrate how the electric flux tubes arrange themselves in the bulk, giving rise to crystalline patterns, whose period can be controlled by tuning the external field. We propose observables to detect the transitions in ground state properties not only in numerical experiments, but also in future cold-atom realizations. A systematic procedure for reaching the thermodynamic limit, as well as extending the studies from ladders to extended geometries is outlined.

Keyword(s): flux tube: electric ; invariance: gauge ; gauge field theory: abelian ; density: finite ; numerical calculations: Monte Carlo ; ground state ; external field ; thermodynamical ; network ; crystal ; geometry ; condensed matter ; U(1) ; electric field ; critical phenomena

Classification:

Note: 8 pages, 7 figures

Contributing Institute(s):
  1. Centre f. Quantum Techno. a. Application (CQTA)
Research Program(s):
  1. 611 - Fundamental Particles and Forces (POF4-611) (POF4-611)
  2. STREDCH - Structured electric-dipole-based chirality (101029393) (101029393)
  3. GRK 2433 - GRK 2433: Differentialgleichungs- und Daten-basierte Modelle in den Lebenswissenschaften und der Fluiddynamik (DAEDALUS) (384950143) (384950143)
Experiment(s):
  1. No specific instrument

Appears in the scientific report 2023
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Crystalline phases at finite winding densities in a quantum link ladder
[10.3204/PUBDB-2022-05024]  GO OpenAccess  Download fulltext Files  Download fulltextFulltext by arXiv.org BibTeX | EndNote: XML, Text | RIS


 Record created 2023-03-13, last modified 2025-07-15


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