TY  - JOUR
AU  - Stornati, Paolo
AU  - Krah, Philipp
AU  - Jansen, Karl
AU  - Banerjee, Debasish
TI  - Crystalline phases at finite winding densities in a quantum link ladder
JO  - Physical review / D
VL  - 107
IS  - 3
SN  - 2470-0010
CY  - Woodbury, NY
PB  - Inst.
M1  - PUBDB-2023-01184
M1  - arXiv:2208.01964
SP  - L031504
PY  - 2023
N1  - 8 pages, 7 figures
AB  - 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.
KW  - flux tube: electric (INSPIRE)
KW  - invariance: gauge (INSPIRE)
KW  - gauge field theory: abelian (INSPIRE)
KW  - density: finite (INSPIRE)
KW  - numerical calculations: Monte Carlo (INSPIRE)
KW  - ground state (INSPIRE)
KW  - external field (INSPIRE)
KW  - thermodynamical (INSPIRE)
KW  - network (INSPIRE)
KW  - crystal (INSPIRE)
KW  - geometry (INSPIRE)
KW  - condensed matter (INSPIRE)
KW  - U(1) (INSPIRE)
KW  - electric field (INSPIRE)
KW  - critical phenomena (INSPIRE)
LB  - PUB:(DE-HGF)16
UR  - <Go to ISI:>//WOS:000943018500003
DO  - DOI:10.1103/PhysRevD.107.L031504
UR  - https://bib-pubdb1.desy.de/record/580278
ER  -