Parity breaking in Thouless quantum walks

• URL: http://arxiv.org/abs/2412.02429v1
• Date: Tue, 03 Dec 2024 12:49:37 GMT
• Title: Parity breaking in Thouless quantum walks
• Authors: Carlo Danieli, Laura Pilozzi, Claudio Conti, Valentina Brosco,
• Abstract summary: We show how the interplay of non-commutativity and topology enables geometrically protected quantum coin and shift operators. Surprisingly, the walks break parity generate a dynamic process described by a Weyl-like equation.
• Score: 0.0
• License:
• Abstract: Non-Abelian evolution is a landmark in modern theoretical physics. But if non-commutative dynamics has a significant impact in the control of entanglement and transport in quantum systems is an open question. Here we propose to utilize non-Abelian Thouless pumping in one-dimensional discrete-time quantum walks in lattices with degenerate Bloch-bands. We show how the interplay of non-commutativity and topology enables geometrically protected quantum coin and shift operators. By composing different non-Abelian pumping cycles, different classes of tunable protected quantum walks arise. Surprisingly, the walks break parity symmetry and generate a dynamic process described by a Weyl-like equation. The amount of entanglement can be varied by acting on the initial conditions. The asymptotic statistical distribution and its features are determined by closed form analytical expression and confirmed numerically.

Related papers

• Semicoherent Symmetric Quantum Processes: Theory and Applications [3.6190123930006317]
  We consider the interplay between the $varepsilon$-approximate processes and the exact symmetries in a semicoherent context. Our work paves the way for a deeper understanding and greater appreciation of how symmetries can be used to control quantum dynamics.
  arXiv  Detail & Related papers  (2024-03-08T17:33:33Z)
• Non-adiabatic holonomic quantum operations in continuous variable systems [2.4060220973816144]
  Quantum operations by utilizing the underlying geometric phases produced in physical systems are favoured due to its potential robustness. Here we propose a feasible scheme to realize non-adiabatic holonomic quantum logic operations in continuous variable systems with cat codes.
  arXiv  Detail & Related papers  (2024-02-04T07:06:23Z)
• Quantum vacuum effects in non-relativistic quantum field theory [0.0]
  We consider a 1D-periodic rotating, interacting non-relativistic setup. The quantum vacuum energy of such a system is expected to comprise two contributions: a fluctuation-induced quantum contribution and a repulsive centrifugal-like term. We find a generic, regularization-independent behavior, where the competition between the interaction and rotation can be balanced at some critical ring-size.
  arXiv  Detail & Related papers  (2023-09-14T06:27:16Z)
• Universality of critical dynamics with finite entanglement [68.8204255655161]
  We study how low-energy dynamics of quantum systems near criticality are modified by finite entanglement. Our result establishes the precise role played by entanglement in time-dependent critical phenomena.
  arXiv  Detail & Related papers  (2023-01-23T19:23:54Z)
• Non-Abelian braiding of graph vertices in a superconducting processor [144.97755321680464]
  Indistinguishability of particles is a fundamental principle of quantum mechanics. braiding of non-Abelian anyons causes rotations in a space of degenerate wavefunctions. We experimentally verify the fusion rules of the anyons and braid them to realize their statistics.
  arXiv  Detail & Related papers  (2022-10-19T02:28:44Z)
• Non-Abelian symmetry can increase entanglement entropy [62.997667081978825]
  We quantify the effects of charges' noncommutation on Page curves. We show analytically and numerically that the noncommuting-charge case has more entanglement.
  arXiv  Detail & Related papers  (2022-09-28T18:00:00Z)
• Driven Gaussian quantum walks [0.0]
  Quantum walks function as essential means to implement quantum simulators. We introduce the notion of a driven Gaussian quantum walk. We study the generation and boost of highly multimode entanglement, squeezing, and other quantum effects.
  arXiv  Detail & Related papers  (2021-12-16T15:53:42Z)
• Unification of Random Dynamical Decoupling and the Quantum Zeno Effect [68.8204255655161]
  We show that the system dynamics under random dynamical decoupling converges to a unitary with a decoupling error that characteristically depends on the convergence speed of the Zeno limit. This reveals a unification of the random dynamical decoupling and the quantum Zeno effect.
  arXiv  Detail & Related papers  (2021-12-08T11:41:38Z)
• Algebraic Compression of Quantum Circuits for Hamiltonian Evolution [52.77024349608834]
  Unitary evolution under a time dependent Hamiltonian is a key component of simulation on quantum hardware. We present an algorithm that compresses the Trotter steps into a single block of quantum gates. This results in a fixed depth time evolution for certain classes of Hamiltonians.
  arXiv  Detail & Related papers  (2021-08-06T19:38:01Z)
• Quantized Nonlinear Thouless Pumping [0.0]
  We show that nonlinearity acts to quantize transport via soliton formation and spontaneous symmetry breaking bifurcations. Our result shows that nonlinearity and interparticle interactions can induce quantized transport and topological behavior even where the linear limit does not.
  arXiv  Detail & Related papers  (2021-06-27T03:02:39Z)
• Non-equilibrium stationary states of quantum non-Hermitian lattice models [68.8204255655161]
  We show how generic non-Hermitian tight-binding lattice models can be realized in an unconditional, quantum-mechanically consistent manner. We focus on the quantum steady states of such models for both fermionic and bosonic systems.
  arXiv  Detail & Related papers  (2021-03-02T18:56:44Z)

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.