Simulating (2+1)D SU(2) Yang-Mills Lattice Gauge Theory at finite density with tensor networks

• URL: http://arxiv.org/abs/2307.09396v3
• Date: Fri, 12 Jul 2024 14:57:01 GMT
• Title: Simulating (2+1)D SU(2) Yang-Mills Lattice Gauge Theory at finite density with tensor networks
• Authors: Giovanni Cataldi, Giuseppe Magnifico, Pietro Silvi, Simone Montangero,
• Abstract summary: We numerically simulate a non-Abelian lattice gauge theory in two spatial dimensions. We focus on the SU(2) Yang-Mills model in Hamiltonian formulation.
• Score: 0.0
• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• Abstract: We numerically simulate a non-Abelian lattice gauge theory in two spatial dimensions, with tensor networks (TN), up to intermediate sizes (>30 matter sites) well beyond exact diagonalization. We focus on the SU(2) Yang-Mills model in Hamiltonian formulation, with dynamical matter and minimally truncated gauge field (hardcore gluon). Thanks to the TN sign-problem-free approach, we characterize the phase diagram of the model at zero and finite baryon number as a function of the quark bare mass and color charge. At intermediate system sizes, we detect a liquid phase of quark-pair bound-state quasiparticles (baryons), whose mass is finite towards the continuum limit. Interesting phenomena arise at the transition boundary where color-electric and color-magnetic terms are maximally frustrated: For low quark masses, we see traces of potential deconfinement, while for high masses, signatures of a possible topological order.

Related papers

• Phases of 2d massless QCD with qubit regularization [3.3963028001679065]
  continuum theory is described by N free fermions in the ultraviolet (UV) and a coset Wess-Zumino-Witten (WZW) model in the infrared (IR)
  arXiv  Detail & Related papers  (2023-12-29T18:41:39Z)
• Fermion production at the boundary of an expanding universe: a cold-atom gravitational analogue [68.8204255655161]
  We study the phenomenon of cosmological particle production of Dirac fermions in a Friedman-Robertson-Walker spacetime. We present a scheme for the quantum simulation of this gravitational analogue by means of ultra-cold atoms in Raman optical lattices.
  arXiv  Detail & Related papers  (2022-12-02T18:28:23Z)
• Interface dynamics in the two-dimensional quantum Ising model [0.0]
  We show that the dynamics of interfaces, in the symmetry-broken phase of the two-dimensional ferromagnetic quantum Ising model, displays a robust form of ergodicity breaking. We present a detailed analysis of the evolution of these interfaces both on the lattice and in a suitable continuum limit. The implications of our work for the classic problem of the decay of a false vacuum are also discussed.
  arXiv  Detail & Related papers  (2022-09-19T13:08:58Z)
• Phase diagram of Rydberg-dressed atoms on two-leg square ladders: Coupling supersymmetric conformal field theories on the lattice [52.77024349608834]
  We investigate the phase diagram of hard-core bosons in two-leg ladders in the presence of soft-shoulder potentials. We show how the competition between local and non-local terms gives rise to a phase diagram with liquid phases with dominant cluster, spin, and density-wave quasi-long-range ordering.
  arXiv  Detail & Related papers  (2021-12-20T09:46:08Z)
• Quantum correlations, entanglement spectrum and coherence of two-particle reduced density matrix in the Extended Hubbard Model [62.997667081978825]
  We study the ground state properties of the one-dimensional extended Hubbard model at half-filling. In particular, in the superconducting region, we obtain that the entanglement spectrum signals a transition between a dominant singlet (SS) to triplet (TS) pairing ordering in the system.
  arXiv  Detail & Related papers  (2021-10-29T21:02:24Z)
• Multipartitioning topological phases by vertex states and quantum entanglement [9.519248546806903]
  We discuss multipartitions of the gapped ground states of (2+1)-dimensional topological liquids into three spatial regions. We compute various correlation measures, such as entanglement negativity, reflected entropy, and associated spectra. As specific examples, we consider topological chiral $p$-wave superconductors and Chern insulators.
  arXiv  Detail & Related papers  (2021-10-22T18:01:24Z)
• Mechanism for particle fractionalization and universal edge physics in quantum Hall fluids [58.720142291102135]
  We advance a second-quantization framework that helps reveal an exact fusion mechanism for particle fractionalization in FQH fluids. We also uncover the fundamental structure behind the condensation of non-local operators characterizing topological order in the lowest-Landau-level (LLL)
  arXiv  Detail & Related papers  (2021-10-12T18:00:00Z)
• Tuning the topology of $p$-wave superconductivity in an analytically solvable two-band model [0.0]
  We introduce and solve a two-band model of spinless fermions with $p_x$-wave pairing on a square lattice. We show that its phase diagram contains a topologically nontrivial weak pairing phase as well as a trivial strong pairing phase.
  arXiv  Detail & Related papers  (2020-10-01T01:20:46Z)
• Geometric Quantum Information Structure in Quantum Fields and their Lattice Simulation [0.0]
  An upper limit to distillable entanglement has an exponential decay defined by a geometric decay constant. When regulated at short distances with a spatial lattice, this entanglement abruptly vanishes beyond a dimensionless separation. We highlight potential impacts of the distillable entanglement structure on effective field theories, lattice QCD calculations and future quantum simulations.
  arXiv  Detail & Related papers  (2020-08-09T04:26:49Z)
• Dynamical solitons and boson fractionalization in cold-atom topological insulators [110.83289076967895]
  We study the $mathbbZ$ Bose-Hubbard model at incommensurate densities. We show how defects in the $mathbbZ$ field can appear in the ground state, connecting different sectors. Using a pumping argument, we show that it survives also for finite interactions.
  arXiv  Detail & Related papers  (2020-03-24T17:31:34Z)
• Probing chiral edge dynamics and bulk topology of a synthetic Hall system [52.77024349608834]
  Quantum Hall systems are characterized by the quantization of the Hall conductance -- a bulk property rooted in the topological structure of the underlying quantum states. Here, we realize a quantum Hall system using ultracold dysprosium atoms, in a two-dimensional geometry formed by one spatial dimension. We demonstrate that the large number of magnetic sublevels leads to distinct bulk and edge behaviors.
  arXiv  Detail & Related papers  (2020-01-06T16:59:08Z)

This list is automatically generated from the titles and abstracts of the papers in this site.

This site does not guarantee the quality of this site (including all information) and is not responsible for any consequences.