SAMOP 2023 – wissenschaftliches Programm
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QI: Fachverband Quanteninformation
QI 13: Quantum Simulation
QI 13.6: Vortrag
Dienstag, 7. März 2023, 12:15–12:30, F428
Confinement and phase diagrams of one-dimensional Z2 lattice gauge theory — •Matjaž Kebrič1,2, Jad C. Halimeh1,2, Christian Reinmoser1,2, Ulrich Schollwöck1,2, Luca Barbiero3, Annabelle Bohrdt4,5, and Fabian Grusdt1,2 — 1Department of Physics and ASC, LMU München, Theresienstr. 37, München D-80333, Germany — 2MCQST, Schellingstr. 4, D-80799 München, Germany — 3DISAT, Politecnico di Torino, I-10129 Torino, Italy — 4ITAMP, Cambridge, MA, USA — 5Department of Physics, Harvard University, Cambridge, MA 02138, USA
We present our work on confinement in a one-dimensional Z2 lattice gauge theory (LGT), where dynamical matter is coupled to gauge fields. This results in a non-local confining potential among pairs of individual particles, which bind into mesons. This is a notoriously difficult problem to tackle when the density of matter is finite and dynamical. We solve the confinement problem in the 1D Z2 LGT, by relating confinement to translational symmetry breaking in a non-local basis. We study the mechanism and effect of confinement in a broad context. Our model is already within the reach of existing cold-atom experiments. We thus consider the manifestation of confinement in the context of quantum simulation experiments and study the effect of finite temperature. In addition, we map out phase diagrams at different fillings and uncover rich physic driven by the interplay of non-local confining potential and purely local interactions. Furthermore, we develop a mean-field description of the LGT and explore the possibility to use the LGT formalism to describe mixed dimensional spin systems.