Spontaneous breaking of multipole symmetries

• URL: http://arxiv.org/abs/2111.08041v3
• Date: Tue, 12 Apr 2022 21:25:37 GMT
• Title: Spontaneous breaking of multipole symmetries
• Authors: Charles Stahl, Ethan Lake, and Rahul Nandkishore
• Abstract summary: Multipole symmetries are of interest both as a window on fracton physics and as a crucial ingredient in realizing new universality classes for quantum dynamics. Here we address the question of whether and when multipole symmetries can be spontaneously broken, both in thermal equilibrium and at zero temperature.
• Score: 0.7158825804770321
• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• Abstract: Multipole symmetries are of interest both as a window on fracton physics and as a crucial ingredient in realizing new universality classes for quantum dynamics. Here we address the question of whether and when multipole symmetries can be spontaneously broken, both in thermal equilibrium and at zero temperature. We derive generalized Mermin-Wagner arguments for the total or partial breaking of multipolar symmetry groups and generalized Imry-Ma arguments for the robustness of such multipolar symmetry breaking to disorder. We present both general results and explicit examples. Our results should be directly applicable to quantum dynamics with multipolar symmetries and also provide a useful stepping stone to understanding the robustness of fracton phases to thermal fluctuations, quantum fluctuations, and disorder.

Related papers

• Symmetry-protected topology and deconfined solitons in a multi-link $\mathbb{Z}_2$ gauge theory [45.88028371034407]
  We study a $mathbbZ$ lattice gauge theory defined on a multi-graph with links that can be visualized as great circles of a spherical shell.<n>We show that this leads to state-dependent tunneling amplitudes underlying a phenomenon analogous to the Peierls instability.<n>By performining a detailed analysis based on matrix product states, we prove that charge deconfinement emerges as a consequence of charge-fractionalization.
  arXiv  Detail & Related papers  (2026-03-02T22:59:25Z)
• Enhancing entanglement asymmetry in fragmented quantum systems [0.10923877073891443]
  Entanglement asymmetry provides a measure of symmetry breaking in many-body quantum states.<n>We show that the typical asymmetry is bounded by a specific fraction of its maximal value.<n>We reproduce recent findings on the entanglement asymmetry dynamics in random quantum circuits.
  arXiv  Detail & Related papers  (2026-03-02T19:10:30Z)
• Universality classes split by strong and weak symmetries [0.0]
  Dissipative phase transitions are strongly shaped by the symmetries of the Liouvillian.<n>We study a squeezed-photon model with single- and two-photon losses, realizing weak and strong symmetries in the simplest possible setting.
  arXiv  Detail & Related papers  (2026-02-09T19:00:00Z)
• Emergent Universality Class in Dissipative Quantum Systems with Dipole Moment Conservation [25.02042066713773]
  We investigate the universal dynamics of dissipative quantum systems with dipole moment conservation.<n>Our analysis unveils a novel strongly interacting non-equilibrium fixed point that governs the equal-time phase fluctuations.<n>Our results reveal the intricate interplay between kinetic constraints and dissipation in quantum many-body systems.
  arXiv  Detail & Related papers  (2025-12-19T03:44:26Z)
• Observation and Modulation of the Quantum Mpemba Effect on a Superconducting Quantum Processor [22.152087534616076]
  In non-equilibrium quantum many-body systems, the quantum Mpemba effect (QME) emerges as a counterintuitive phenomenon.<n>We report the observation and control of QME using a superconducting processor featuring a unique fully connected, tunable-coupling architecture.<n>Our study provides the first demonstration of flexible QME modulation on a superconducting platform with multiple controllable parameters.
  arXiv  Detail & Related papers  (2025-08-11T07:35:26Z)
• Kubo-Martin-Schwinger relation for energy eigenstates of SU(2)-symmetric quantum many-body systems [41.94295877935867]
  We show that non-Abelian symmetries may alter conventional thermodynamics.<n>This work helps extend into nonequilibrium physics the effort to identify how non-Abelian symmetries may alter conventional thermodynamics.
  arXiv  Detail & Related papers  (2025-07-09T19:46:47Z)
• Symmetries, Conservation Laws and Entanglement in Non-Hermitian Fermionic Lattices [37.69303106863453]
  Non-Hermitian quantum many-body systems feature steady-state entanglement transitions driven by unitary dynamics and dissipation. We show that the steady state is obtained by filling single-particle right eigenstates with the largest imaginary part of the eigenvalue. We illustrate these principles in the Hatano-Nelson model with periodic boundary conditions and the non-Hermitian Su-Schrieffer-Heeger model.
  arXiv  Detail & Related papers  (2025-04-11T14:06:05Z)
• Symmetry breaking in chaotic many-body quantum systems at finite temperature [0.0]
  Recent work has shown that the entanglement of finite-temperature eigenstates in chaotic quantum many-body local Hamiltonians can be accurately described. We build upon this result to investigate the universal symmetry-breaking properties of such eigenstates.
  arXiv  Detail & Related papers  (2025-04-08T15:41:54Z)
• Disentangling anomaly-free symmetries of quantum spin chains [0.0]
  We prove that any finite, internal, anomaly-free symmetry in a 1+1d lattice Hamiltonian system can be disentangled into an on-site symmetry.
  arXiv  Detail & Related papers  (2025-03-12T18:08:22Z)
• Controlling Symmetries and Quantum Criticality in the Anisotropic Coupled-Top Model [32.553027955412986]
  We investigate the anisotropic coupled-top model, which describes the interactions between two large spins along both $x-$ and $y-$directions. We can manipulate the system's symmetry, inducing either discrete $Z$ or continuous U(1) symmetry. The framework provides an ideal platform for experimentally controlling symmetries and investigating associated physical phenomena.
  arXiv  Detail & Related papers  (2025-02-13T15:14:29Z)
• Predicting symmetries of quantum dynamics with optimal samples [41.42817348756889]
  Identifying symmetries in quantum dynamics is a crucial challenge with profound implications for quantum technologies. We introduce a unified framework combining group representation theory and subgroup hypothesis testing to predict these symmetries with optimal efficiency. We prove that parallel strategies achieve the same performance as adaptive or indefinite-causal-order protocols.
  arXiv  Detail & Related papers  (2025-02-03T15:57:50Z)
• Diagnosing Strong-to-Weak Symmetry Breaking via Wightman Correlators [20.572965801171225]
  Recent developments have extended the discussion of symmetry and its breaking to mixed states. We propose the Wightman correlator as an alternative diagnostic tool.
  arXiv  Detail & Related papers  (2024-10-12T02:04:40Z)
• Non-invertible duality defects in one, two, and three dimensions via gauging spatially modulated symmetry [15.282090777675679]
  We construct concrete lattice models with non-invertible duality defects via gauging spatially modulated symmetries. Our work provides a unified and systematic analytical framework for constructing exotic duality defects by gauging relevant symmetries.
  arXiv  Detail & Related papers  (2024-09-25T08:52:07Z)
• Asymmetry Amplification by a Nonadiabatic Passage through a Critical Point [0.0]
  We propose and solve a minimal model of dynamic passage through a quantum second order phase transition in the presence of weak symmetry breaking interactions and no dissipation. The evolution eventually leads to a highly asymmetric state, no matter how weak the symmetry breaking term is. This suggests a potential mechanism for strong asymmetry in the production of particles with almost identical characteristics.
  arXiv  Detail & Related papers  (2024-08-28T16:06:56Z)
• Entanglement asymmetry in conformal field theory and holography [0.0]
  Entanglement asymmetry is a measure of symmetry breaking in quantum subsystems. We study the asymmetry of a class of excited "coherent states" in conformal quantum field theories with a U(1) symmetry.
  arXiv  Detail & Related papers  (2024-07-10T18:08:27Z)
• Spontaneous symmetry breaking in open quantum systems: strong, weak, and strong-to-weak [4.41737598556146]
  We show that strong symmetry always spontaneously breaks into the corresponding weak symmetry. We conjecture that this relation among strong-to-weak symmetry breaking, gapless modes, and symmetry-charge diffusion is general for continuous symmetries.
  arXiv  Detail & Related papers  (2024-06-27T17:55:36Z)
• Emergent Anomalous Hydrodynamics at Infinite Temperature in a Long-Range XXZ Model [14.297989605089663]
  We find anomalous hydrodynamics in a spin-1/2 XXZ chain with power-law couplings. We quantify the degree of quantum chaos using the Kullback-Leibler divergence. This work offers another deep understanding of emergent anomalous transport phenomena in a wider range of non-integrable quantum many-body systems.
  arXiv  Detail & Related papers  (2024-03-26T17:50:04Z)
• Theory of free fermions dynamics under partial post-selected monitoring [49.1574468325115]
  We derive a partial post-selected Schrdinger"o equation based on a microscopic description of continuous weak measurement. We show that the passage to the monitored universality occurs abruptly at finite partial post-selection. Our approach establishes a way to study MiPTs for arbitrary subsets of quantum trajectories.
  arXiv  Detail & Related papers  (2023-12-21T16:53:42Z)
• Dark-state solution and symmetries of the two-qubit multimode asymmetric quantum Rabi model [6.510240597572375]
  We study the two-qubit asymmetric quantum Rabi model (AQRM) and find its dark-state solution. We find symmetries related with conserved bosonic number operators, which also cause level crossings.
  arXiv  Detail & Related papers  (2023-10-31T22:33:28Z)
• Emergence of non-Abelian SU(2) invariance in Abelian frustrated fermionic ladders [37.69303106863453]
  We consider a system of interacting spinless fermions on a two-leg triangular ladder with $pi/2$ magnetic flux per triangular plaquette. Microscopically, the system exhibits a U(1) symmetry corresponding to the conservation of total fermionic charge, and a discrete $mathbbZ$ symmetry. At the intersection of the three phases, the system features a critical point with an emergent SU(2) symmetry.
  arXiv  Detail & Related papers  (2023-05-11T15:57:27Z)
• Metrological detection of multipartite entanglement through dynamical symmetries [0.0]
  Multipartite entanglement, characterized by the quantum Fisher information (QFI), plays a central role in quantum-enhanced metrology. We provide a rigorous lower bound on the QFI for the thermal Gibbs states in terms of dynamical symmetries. Our results reveal a new perspective to detect multipartite entanglement and other generalized variances in an equilibrium system.
  arXiv  Detail & Related papers  (2023-04-02T16:18:37Z)
• Information retrieval and eigenstates coalescence in a non-Hermitian quantum system with anti-$\mathcal{PT}$ symmetry [15.273168396747495]
  Non-Hermitian systems with parity-time reversal ($mathcalPT$) or anti-$mathcalPT$ symmetry have attracted a wide range of interest owing to their unique characteristics and counterintuitive phenomena. We implement a Floquet Hamiltonian of a single qubit with anti-$mathcalPT$ symmetry by periodically driving a dissipative quantum system of a single trapped ion.
  arXiv  Detail & Related papers  (2021-07-27T07:11:32Z)

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.