Deformed Fredkin model for the $\nu{=}5/2$ Moore-Read state on thin cylinders

• URL: http://arxiv.org/abs/2309.04527v1
• Date: Fri, 8 Sep 2023 18:00:03 GMT
• Title: Deformed Fredkin model for the $\nu{=}5/2$ Moore-Read state on thin cylinders
• Authors: Cristian Voinea, Songyang Pu, Ammar Kirmani, Pouyan Ghaemi, Armin Rahmani and Zlatko Papi\'c
• Abstract summary: Moore-Read Hamiltonian involves complicated interactions between triplets of electrons in a Landau level. We show that the ground state of the Fredkin model has high overlap with the Moore-Read wave function. We demonstrate by deriving an efficient circuit approximation to the ground state and implementing it on IBM quantum processor.
• Score: 0.0
• License: http://creativecommons.org/licenses/by/4.0/
• Abstract: We propose a frustration-free model for the Moore-Read quantum Hall state on sufficiently thin cylinders with circumferences $\lesssim 7$ magnetic lengths. While the Moore-Read Hamiltonian involves complicated long-range interactions between triplets of electrons in a Landau level, our effective model is a simpler one-dimensional chain of qubits with deformed Fredkin gates. We show that the ground state of the Fredkin model has high overlap with the Moore-Read wave function and accurately reproduces the latter's entanglement properties. Moreover, we demonstrate that the model captures the dynamical response of the Moore-Read state to a geometric quench, induced by suddenly changing the anisotropy of the system. We elucidate the underlying mechanism of the quench dynamics and show that it coincides with the linearized bimetric field theory. The minimal model introduced here can be directly implemented as a first step towards quantum simulation of the Moore-Read state, as we demonstrate by deriving an efficient circuit approximation to the ground state and implementing it on IBM quantum processor.

Related papers

• Onset of thermalization of q-deformed SU(2) Yang-Mills theory on a trapped-ion quantum computer [1.2744523252873352]
  We develop a quantum simulation of thermalization dynamics in a (2+1)-dimensional $q$-deformed $mathrmSU(2)_3$ Yang-Mills theory.<n>We successfully simulate the real-time dynamics of this model using quantum circuits that explicitly implement $F$-moves.
  arXiv  Detail & Related papers  (2026-01-20T02:25:53Z)
• Simulating Schwinger model dynamics with quasi-one-dimensional qubit arrays [0.0]
  We develop a strategy to run Schwinger model dynamics on synthetic quantum spin lattices. We show that global magnetic field patterns can drive coherent quantum dynamics of the interface equivalent to the lattice Schwinger Hamiltonian. This work opens up a path for near-term quantum simulators to address questions of immediate relevance to particle physics.
  arXiv  Detail & Related papers  (2024-09-22T17:58:25Z)
• Amorphous quantum magnets in a two-dimensional Rydberg atom array [44.99833362998488]
  We propose to explore amorphous quantum magnets with an analog quantum simulator. We first present an algorithm to generate amorphous quantum magnets, suitable for Rydberg simulators of the Ising model. We then use semiclassical approaches to get a preliminary insight of the physics of the model.
  arXiv  Detail & Related papers  (2024-02-05T10:07:10Z)
• Quench dynamics in higher-dimensional Holstein models: Insights from Truncated Wigner Approaches [41.94295877935867]
  We study the melting of charge-density waves in a Holstein model after a sudden switch-on of the electronic hopping. A comparison with exact data obtained for a Holstein chain shows that a semiclassical treatment of both the electrons and phonons is required in order to correctly describe the phononic dynamics.
  arXiv  Detail & Related papers  (2023-12-19T16:14:01Z)
• Proposal for simulating quantum spin models with the Dzyaloshinskii-Moriya interaction using Rydberg atoms and the construction of asymptotic quantum many-body scar states [0.0]
  We have developed a method to simulate quantum spin models with the Dzyaloshinskii-Moriya interaction (DMI) using Rydberg atom quantum simulators. Our approach involves a two-photon Raman transition and a transformation to the spin-rotating frame. As a model that can be simulated in our setup but not in solid-state systems, we consider an $S=frac12$ spin chain with a Hamiltonian consisting of Zeeman energy.
  arXiv  Detail & Related papers  (2023-06-08T23:34:01Z)
• Message-Passing Neural Quantum States for the Homogeneous Electron Gas [41.94295877935867]
  We introduce a message-passing-neural-network-based wave function Ansatz to simulate extended, strongly interacting fermions in continuous space. We demonstrate its accuracy by simulating the ground state of the homogeneous electron gas in three spatial dimensions.
  arXiv  Detail & Related papers  (2023-05-12T04:12:04Z)
• Quantum emulation of the transient dynamics in the multistate Landau-Zener model [50.591267188664666]
  We study the transient dynamics in the multistate Landau-Zener model as a function of the Landau-Zener velocity. Our experiments pave the way for more complex simulations with qubits coupled to an engineered bosonic mode spectrum.
  arXiv  Detail & Related papers  (2022-11-26T15:04:11Z)
• Photoinduced prethermal order parameter dynamics in the two-dimensional large-$N$ Hubbard-Heisenberg model [77.34726150561087]
  We study the microscopic dynamics of competing ordered phases in a two-dimensional correlated electron model. We simulate the light-induced transition between two competing phases.
  arXiv  Detail & Related papers  (2022-05-13T13:13:31Z)
• Schrieffer-Wolff Transformations for Experiments: Dynamically Suppressing Virtual Doublon-Hole Excitations in a Fermi-Hubbard Simulator [0.0]
  We propose a protocol to dynamically prepare approximate $t-J-3s$ model states using fermionic atoms in an optical lattice. Our protocol involves performing a linear ramp of the optical lattice depth, which is slow enough to eliminate the virtual doublon-hole fluctuations. More generally, this protocol can be beneficial to studies of effective models by enabling the suppression of virtual excitations.
  arXiv  Detail & Related papers  (2022-03-14T17:56:49Z)
• The classical two-dimensional Heisenberg model revisited: An $SU(2)$-symmetric tensor network study [0.6299766708197883]
  We make use of state-the-art tensor network approaches to explore the correlation structure for Gibbs states. We find a rapidly diverging correlation length, whose behaviour is apparently compatible with two main contradictory hypotheses.
  arXiv  Detail & Related papers  (2021-06-11T11:05:00Z)
• Exactness of mean-field equations for open Dicke models with an application to pattern retrieval dynamics [0.0]
  We prove the validity of the mean-field semi-classical equations for open multimode Dicke models. We show that open quantum multimode Dicke models can behave as associative memories.
  arXiv  Detail & Related papers  (2020-09-29T11:26:27Z)
• Quantum anomalous Hall phase in synthetic bilayers via twistless twistronics [58.720142291102135]
  We propose quantum simulators of "twistronic-like" physics based on ultracold atoms and syntheticdimensions. We show that our system exhibits topologicalband structures under appropriate conditions.
  arXiv  Detail & Related papers  (2020-08-06T19:58:05Z)
• State preparation and measurement in a quantum simulation of the O(3) sigma model [65.01359242860215]
  We show that fixed points of the non-linear O(3) sigma model can be reproduced near a quantum phase transition of a spin model with just two qubits per lattice site. We apply Trotter methods to obtain results for the complexity of adiabatic ground state preparation in both the weak-coupling and quantum-critical regimes. We present and analyze a quantum algorithm based on non-unitary randomized simulation methods.
  arXiv  Detail & Related papers  (2020-06-28T23:44:12Z)

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.