Negative string tension of higher-charge Schwinger model via digital quantum simulation

• URL: http://arxiv.org/abs/2110.14105v2
• Date: Tue, 2 Nov 2021 02:09:28 GMT
• Title: Negative string tension of higher-charge Schwinger model via digital quantum simulation
• Authors: Masazumi Honda, Etsuko Itou, Yuta Kikuchi and Yuya Tanizaki
• Abstract summary: We study some properties of generalized global symmetry for the charge-$q$ Schwinger model in the Hamiltonian formalism. Even with open boundaries, we can observe the stability of such states by seeing a negative string tension behavior.
• Score: 1.4050836886292868
• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• Abstract: We study some properties of generalized global symmetry for the charge-$q$ Schwinger model in the Hamiltonian formalism, which is the $(1+1)$-dimensional quantum electrodynamics with a charge-$q$ Dirac fermion. This model has the $\mathbb{Z}_q$ $1$-form symmetry, which is a remnant of the electric $U(1)$ $1$-form symmetry in the pure Maxwell theory. It is known that if we put the theory on closed space, then the Hilbert space is decomposed into $q$ distinct sectors, called universes and some states with higher energy density do not decay to the ground state due to the selection rule of the $1$-form symmetry. Even with open boundaries, we can observe the stability of such states by seeing a negative string tension behavior, meaning that opposite charges repel with each other. We develop a method based on the adiabatic state preparation to see this feature with digital quantum simulation and confirm it using a classical simulator of quantum devices. Especially, we measure local energy density and see how it jumps between inside and outside of insertion of the probe charges. We explicitly see that the energy density inside is lower than the outside one. This is a clear signature of the negative string tension.

Related papers

• Small Circle Expansion for Adjoint QCD$_2$ with Periodic Boundary Conditions [0.0]
  Supersymmetry is found at the adjoint mass-squared $g2 hvee/ (2pi)$, where $hvee$ is the dual Coxeter number of $G$. We generalize our results to other gauge groupsG$, for which supersymmetry is found at the adjoint mass-squared $g2 hvee/ (2pi)$, where $hvee$ is the dual Coxeter number of $G$.
  arXiv  Detail & Related papers  (2024-06-24T19:07:42Z)
• Geometry of degenerate quantum states, configurations of $m$-planes and invariants on complex Grassmannians [55.2480439325792]
  We show how to reduce the geometry of degenerate states to the non-abelian connection $A$. We find independent invariants associated with each triple of subspaces. Some of them generalize the Berry-Pancharatnam phase, and some do not have analogues for 1-dimensional subspaces.
  arXiv  Detail & Related papers  (2024-04-04T06:39:28Z)
• Quantum Current and Holographic Categorical Symmetry [62.07387569558919]
  A quantum current is defined as symmetric operators that can transport symmetry charges over an arbitrary long distance. The condition for quantum currents to be superconducting is also specified, which corresponds to condensation of anyons in one higher dimension.
  arXiv  Detail & Related papers  (2023-05-22T11:00:25Z)
• Violation of Eigenstate Thermalization Hypothesis in Quantum Field Theories with Higher-Form Symmetry [0.0]
  We show that a higher-form symmetry in a $(d+1)$-dimensional quantum field theory leads to the breakdown of the eigenstate thermalization hypothesis. For higher-form (i.e., $pgeq 1$) symmetry, this indicates the absence of thermalization for lattice observables that are non-local but much smaller than the whole system size.
  arXiv  Detail & Related papers  (2023-05-08T18:29:38Z)
• Co-existence of charge density wave and anti-ferromagnetic coupling in the spin-chain compound Ba$_6$Cr$_2$S$_{10}$ [13.957318458486467]
  We study the origin of the anti-ferromagnetic exchange interaction between spins on Cr ions for the spin-chain compound Ba$_6$Cr$$S$_10$. Most importantly, we have found the co-existence of a charge density wave phase along one line and an anti-ferromagnetic spin chain along another.
  arXiv  Detail & Related papers  (2023-04-12T20:39:15Z)
• Simulation of 1/f charge noise affecting a quantum dot in a Si/SiGe structure [0.0]
  We investigate theoretically fluctuations of ground state energy of an electron in gated quantum dot in realistic Si/SiGe structure. We assume that the charge noise is caused by motion of charges trapped at the semiconductor-oxide interface.
  arXiv  Detail & Related papers  (2023-03-24T12:41:28Z)
• \boldmath $SU(\infty)$ Quantum Gravity: Emergence of Gravity in an Infinitely Divisible Quantum Universe [0.0]
  $SU(infty)$-QGR is a foundationally quantum approach to gravity. It assumes that the Hilbert space of the Universe as a whole represents the symmetry group $SU(infty)$. We show that the global $SU(infty)$ symmetry manifests itself through the entanglement of subsystems with the rest of the Universe.
  arXiv  Detail & Related papers  (2023-01-07T09:19:15Z)
• Studying chirality imbalance with quantum algorithms [62.997667081978825]
  We employ the (1+1) dimensional Nambu-Jona-Lasinio (NJL) model to study the chiral phase structure and chirality charge density of strongly interacting matter. By performing the Quantum imaginary time evolution (QITE) algorithm, we simulate the (1+1) dimensional NJL model on the lattice at various temperature $T$ and chemical potentials $mu$, $mu_5$.
  arXiv  Detail & Related papers  (2022-10-06T17:12:33Z)
• Symmetric inseparability and number entanglement in charge conserving mixed states [15.57253296268595]
  We argue that even separable states may contain entanglement in fixed charge sectors, as long as the state can not be separated into charge conserving components. We demonstrate that the NE is not only a witness of symmetric inseparability, but also an entanglement monotone.
  arXiv  Detail & Related papers  (2021-10-18T15:20:07Z)
• Partitioning dysprosium's electronic spin to reveal entanglement in non-classical states [55.41644538483948]
  We report on an experimental study of entanglement in dysprosium's electronic spin. Our findings open up the possibility to engineer novel types of entangled atomic ensembles.
  arXiv  Detail & Related papers  (2021-04-29T15:02:22Z)
• Hidden symmetry and (super)conformal mechanics in a monopole background [0.0]
  We study classical and quantum hidden symmetries of a particle with electric charge $e$ in the background of a Dirac monopole of magnetic charge $g$ subjected to an additional central potential $V(r)=U(r) +(eg)2/2mr2$ with $U(r)=tfrac12momega2r2$. By means of a non-unitary conformal bridge transformation, we establish a relation of the quantum states and of all symmetries of the system with those of the system without
  arXiv  Detail & Related papers  (2020-02-11T12:14:38Z)

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.