Quantum Walks in artificial electric and gravitational Fields
arXiv:1309.4923 · doi:10.1016/j.physa.2013.11.036
Abstract
The continuous limit of quantum walks (QWs) on the line is revisited through a recently developed method. In all cases but one, the limit coincides with the dynamics of a Dirac fermion coupled to an artificial electric and/or relativistic gravitational field. All results are carefully discussed and illustrated by numerical simulations.
arXiv comment13 pages, 3 figures. Submitted to Physica A. arXiv admin note: text overlap with arXiv:1212.5821
References in corpus (33)
- Two-Dimensional Gas of Massless Dirac Fermions in Graphene
- Artificial gauge potentials for neutral atoms
- Quantum Communication Through an Unmodulated Spin Chain
- Quantum Computation and Decision Trees
- Quantum walks of correlated particles
- Dirac cones reshaped by interaction effects in suspended graphene
- Quantum Walk in Position Space with Single Optically Trapped Atoms
- Photons Walking the Line: A quantum walk with adjustable coin operations
- Two-particle bosonic-fermionic quantum walk via 3D integrated photonics
- From quantum cellular automata to quantum lattice gases
- Realization of quantum walks with negligible decoherence in waveguide lattices
- Realization of a quantum walk with one and two trapped ions
- Electron-positron pairs in physics and astrophysics: from heavy nuclei to black holes
- Quantum Communication through Spin Chain Dynamics: an Introductory Overview
- Anderson localization of entangled photons in an integrated quantum walk
- Quantum walk of a trapped ion in phase space
- Artificial graphene as a tunable Dirac material
- A 2D Quantum Walk Simulation of Two-Particle Dynamics
- Search via Quantum Walk
- Connecting the discrete and continuous-time quantum walks
- Quantum walk on the line as an interference phenomenon
- Quantum quincunx in cavity quantum electrodynamics
- Artificial graphene with tunable interactions
- Electric quantum walks with individual atoms
- Relativistic quantum walks
- Relationship Between Quantum Walk and Relativistic Quantum Mechanics
- Propagation and spectral properties of quantum walks in electric fields
- Nonlinear optical Galton board
- Free Dirac evolution as a quantum random walk
- Discrete-time quantum walks: continuous limit and symmetries
- Quantum walks as massless Dirac Fermions in curved Space-Time
- Quantum Dynamics of a Particle with a Spin-dependent Velocity
- Quantum walks and quantum simulations with Bloch oscillating spinor atoms
Cited by in corpus (57)
- A review of Quantum Cellular Automata
- Quantum Walks as simulators of neutrino oscillations in vacuum and matter
- Quantum Walks and discrete Gauge Theories
- Quantum walks and non-Abelian discrete gauge theory
- Discrete Lorentz covariance for Quantum Walks and Quantum Cellular Automata
- Quantum walks and Dirac cellular automata on a programmable trapped-ion quantum computer
- Quantum walks in external gauge fields
- A quantum cellular automaton for one-dimensional QED
- The Dirac equation as a quantum walk over the honeycomb and triangular lattices
- Electromagnetic lattice gauge invariance in two-dimensional discrete-time quantum walks
- Quantum Lattice Boltzmann is a quantum walk
- Dirac Quantum Cellular Automaton from Split-step Quantum Walk
- Neutrino oscillations in discrete-time quantum walk framework
- Quantum walks and gravitational waves
- Algorithm for the solution of the Dirac equation on digital quantum computers
- Simulating Dirac Hamiltonian in Curved Space-time by Split-step Quantum Walk
- Discrete-time quantum walk algorithm for ranking nodes on a network
- Dynamics and energy spectra of aperiodic discrete-time quantum walks
- The Grover search as a naturally occurring phenomenon
- Enhanced non-Markovian behavior in quantum walks with Markovian disorder
- Bounds on the dynamics of periodic quantum walks and emergence of the gapless and gapped Dirac equation
- Electric quantum walks in two dimensions
- Fermion confinement via Quantum Walks in 2D+1 and 3D+1 spacetime
- Quantum walks in weak electric fields and Bloch oscillations
- From curved spacetime to spacetime-dependent local unitaries over the honeycomb and triangular Quantum Walks
- Classical-like behavior in quantum walks with inhomogeneous, time-dependent coin operators
- Dirac quantum walks on triangular and honeycomb lattices
- Action Principles for Quantum Automata and Lorentz Invariance of Discrete Time Quantum Walks
- A relativistic discrete spacetime formulation of 3+1 QED
- Discrete-time quantum walks as fermions of lattice gauge theory
- Quantum circuits for the realization of equivalent forms of one-dimensional discrete-time quantum walks on near-term quantum hardware
- Quantum walks with quantum chaotic coins: Of the Loschmidt echo, classical limit and thermalization
- Massless Dirac Equation from Fibonacci Discrete-Time Quantum Walk
- A gauge-invariant reversible cellular automaton
- Out-of-time-ordered correlators and quantum walks
- Quantum walker as a probe for its coin parameter
- Higher-Order Cellular Automata Generated Symmetry-Protected Topological Phases and Detection Through Multi-Point Strange Correlators
- Twisted quantum walks, generalised Dirac equation and Fermion doubling
- Quantum simulation of quantum relativistic diffusion via quantum walks
- Quantum walk on a toral phase space
- A single-particle framework for unitary lattice gauge theory in discrete time
- A quantum walk simulation of extra dimensions with warped geometry
- Estimation of one-dimensional discrete-time quantum walk parameters by using machine learning algorithms
- Spectral Magnetization Ratchets with Discrete Time Quantum Walks
- Quantum Walks in Weak Stochastic Gauge Fields
- Photonic cellular automaton simulation of relativistic quantum fields: observation of Zitterbewegung
- Gauge-invariance in cellular automata
- Invariance in Quantum Walks
- Time operators for continuous-time and discrete-time quantum walks
- An overview of Quantum Cellular Automata
- Simulating Non Commutative Geometry with Quantum Walks
- Complementarity in quantum walks
- Experiments with Schrödinger Cellular Automata
- Landau levels for discrete-time quantum walks in artificial magnetic fields
- Recurrence Time for Finite Quantum Systems
- Discrete Geometry from Quantum Walks
- Fermion Doubling in Dirac Quantum Walks