Periodic revivals from supersymmetry in a fermionic kinetically constrained model

• URL: http://arxiv.org/abs/2412.16287v2
• Date: Tue, 02 Sep 2025 18:28:22 GMT
• Title: Periodic revivals from supersymmetry in a fermionic kinetically constrained model
• Authors: Wouter Buijsman, Pieter W. Claeys,
• Abstract summary: Supersymmetry provides a natural playground for the construction of dynamically constrained lattice fermion models.<n>We show how supersymmetry can be used to construct a fermionic equivalent of the PXP model with an adjustable chemical potential.
• Score: 0.0
• License: http://creativecommons.org/licenses/by/4.0/
• Abstract: Supersymmetry provides a natural playground for the construction of dynamically constrained lattice fermion models. We here illustrate how supersymmetry can be used to construct a fermionic equivalent of the PXP model with an adjustable chemical potential. This model is closely related to the $\mathcal{N} = 2$ supersymmetric $M_1$ model, inheriting its integrability. The supersymmetric algebra additionally implies that the dynamics exhibit periodic revivals for specific initial states, including the $\mathbb{Z}_2$-ordered (every second site occupied) product state. These dynamics are reminiscent to those of the PXP model, a paradigmatic effective model in the field of quantum many-body scars. We draw a further parallel by uncovering eigenstates obeying sub-thermal entanglement scaling at energies given by (plus or minus) square roots of integers and relate these to special eigenstates of the $M_1$ model. While we focus on a concrete model, our proposed approach is applicable to more general supersymmetric algebras, where it is expected to lead to non-ergodic dynamics.

Related papers

• Quantum simulation of massive Thirring and Gross--Neveu models for arbitrary number of flavors [40.72140849821964]
  We consider the massive Thirring and Gross-Neveu models with arbitrary number of fermion flavors, $N_f$, discretized on a spatial one-dimensional lattice of size $L$.<n>We prepare the ground states of both models with excellent fidelity for system sizes up to 20 qubits with $N_f = 1,2,3,4$.<n>Our work is a concrete step towards the quantum simulation of real-time dynamics of large $N_f$ fermionic quantum field theories models.
  arXiv  Detail & Related papers  (2026-02-25T19:00:01Z)
• Repulsively Bound Hadrons in a $\mathbb{Z}_2$ Lattice Gauge Theory [14.919248418949065]
  We show that resonant pair-production terms give rise to an additional repulsive binding mechanism that forms a stable hadron'' bound state of two mesons.<n>A high-energy state, the hadron is stabilized by being off-resonantly coupled to a continuum.<n>Our findings are amenable to experimental observation on modern quantum hardware from superconducting qubits to trapped ions.
  arXiv  Detail & Related papers  (2025-10-21T18:00:03Z)
• Trading Mathematical for Physical Simplicity: Bialgebraic Structures in Matrix Product Operator Symmetries [20.76275069383104]
  We show that simple quantum spin chains of physical interest are not included in the rigid framework of fusion categories and weak Hopf algebras.<n>We show that our work provides a bridge between well-understood topological defect symmetries and those that arise in more realistic models.
  arXiv  Detail & Related papers  (2025-09-03T18:01:22Z)
• Symmetry-deformed toric codes and the quantum dimer model [0.24578723416255746]
  We investigate symmetry-based deformations of topological order by systematically deconstructing the Gauss-law-enforcing star terms of the toric code (TC) Hamiltonian.<n>This "term-dropping" protocol introduces global symmetries that go beyond the alternative framework of "ungauging" topological order in symmetry-deformed models.
  arXiv  Detail & Related papers  (2025-05-30T18:00:01Z)
• Lie symmetries and ghost-free representations of the Pais-Uhlenbeck model [44.99833362998488]
  We investigate the Pais-Uhlenbeck (PU) model, a paradigmatic example of a higher time-derivative theory.<n>Exploiting Lie symmetries in conjunction with the model's Bi-Hamiltonian structure, we construct distinct Poisson bracket formulations.<n>Our approach yields a unified framework for interpreting and stabilising higher time-derivative dynamics.
  arXiv  Detail & Related papers  (2025-05-09T15:16:40Z)
• Fragmentation, Zero Modes, and Collective Bound States in Constrained Models [0.0]
  This work focuses on the properties of the zero mode subspace in quantum kinetically constrained models with a $U(1)$ particle-conservation symmetry. We observe that the simultaneous presence of constraints and chiral symmetry generally leads to a parametric increase in the number of zero modes. We introduce the notion of collective bound states and argue that the degenerate zero mode subspace plays a central role.
  arXiv  Detail & Related papers  (2025-04-24T14:49:16Z)
• 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)
• 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)
• Exactly solvable models for fermionic symmetry-enriched topological phases and fermionic 't Hooft anomaly [33.49184078479579]
  The interplay between symmetry and topological properties plays a very important role in modern physics. How to realize all these fermionic SET (fSET) phases in lattice models remains to be a difficult open problem.
  arXiv  Detail & Related papers  (2024-10-24T19:52:27Z)
• Entanglement dynamics in the many-body Hatano-Nelson model [0.0]
  The entanglement dynamics in a non-Hermitian quantum system is studied numerically and analyzed from the viewpoint of quasiparticle picture. As opposed to an assertion of previous studies, the entanglement dynamics in this non-Hermitian quantum system is very different from the one in its Hermitian counterpart.
  arXiv  Detail & Related papers  (2023-08-06T10:12:41Z)
• Geometric Neural Diffusion Processes [55.891428654434634]
  We extend the framework of diffusion models to incorporate a series of geometric priors in infinite-dimension modelling. We show that with these conditions, the generative functional model admits the same symmetry.
  arXiv  Detail & Related papers  (2023-07-11T16:51:38Z)
• 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)
• Entangling dynamics from effective rotor/spin-wave separation in U(1)-symmetric quantum spin models [0.0]
  Non-equilibrium dynamics of quantum spin models is a most challenging topic, due to the exponentiality of Hilbert space. A particularly important class of evolutions is the one governed by U(1) symmetric Hamiltonians. We show that the dynamics of the OAT model can be closely reproduced by systems with power-lawdecaying interactions.
  arXiv  Detail & Related papers  (2023-02-18T09:37:45Z)
• Modeling the space-time correlation of pulsed twin beams [68.8204255655161]
  Entangled twin-beams generated by parametric down-conversion are among the favorite sources for imaging-oriented applications. We propose a semi-analytic model which aims to bridge the gap between time-consuming numerical simulations and the unrealistic plane-wave pump theory.
  arXiv  Detail & Related papers  (2023-01-18T11:29:49Z)
• Intrinsically Interacting Higher-Order Topological Superconductors [19.52773844535185]
  We propose a minimal interacting lattice model for two-dimensional class-$D$ higher-order topological superconductors. A Lieb-Schultz-Mattis-type constraint is proposed and applied to guide our lattice model construction.
  arXiv  Detail & Related papers  (2022-12-26T04:48:28Z)
• Engineering imaginary stark ladder in a dissipative lattice: passive $\mathcal{PT}$ symmetry, K symmetry and localized damping [6.192861457571956]
  We study an imaginary stark ladder model and propose a realization of the model in a dissipative chain with linearly increasing site-dependent dissipation strength. We unveil that the dynamical evolution of single particle correlation function is governed by the Hamiltonian of the imaginary stark ladder model.
  arXiv  Detail & Related papers  (2022-10-17T03:43:38Z)
• Topological study of a Bogoliubov-de Gennes system of pseudo spin-$1/2$ bosons with conserved magnetization in a honeycomb lattice [0.0]
  We consider a non-Hermitian Hamiltonian with pseudo-Hermiticity for a system of bosons in a honeycomb lattice. Such a system is capable of acting as a topological amplifier, under time-reversal symmetry. We construct a convenient analytical description for the edge modes of the Haldane model in semi-infinite planes.
  arXiv  Detail & Related papers  (2021-10-07T02:00:12Z)
• Many-Body Quantum States with Exact Conservation of Non-Abelian and Lattice Symmetries through Variational Monte Carlo [0.0]
  We present an ansatz where global non-abelian symmetries are inherently embedded in its structure. We extend the model to incorporate lattice symmetries as well.
  arXiv  Detail & Related papers  (2021-04-30T09:52:15Z)
• Fermion and meson mass generation in non-Hermitian Nambu--Jona-Lasinio models [77.34726150561087]
  We investigate the effects of non-Hermiticity on interacting fermionic systems. We do this by including non-Hermitian bilinear terms into the 3+1 dimensional Nambu--Jona-Lasinio (NJL) model.
  arXiv  Detail & Related papers  (2021-02-02T13:56:11Z)
• Gauge Invariant and Anyonic Symmetric Transformer and RNN Quantum States for Quantum Lattice Models [16.987004075528606]
  We develop a general approach to constructing gauge invariant or anyonic symmetric autoregressive neural network quantum states. We prove that our methods can provide exact representation for the ground and excited states of the 2D and 3D toric codes. We variationally optimize our symmetry incorporated autoregressive neural networks for ground states as well as real-time dynamics for a variety of models.
  arXiv  Detail & Related papers  (2021-01-18T18:55:21Z)
• 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)

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.