Non-Hermitian bidirectional robust transport

Abstract

Transport of quantum or classical waves in open systems is known to be strongly affected by non-Hermitian terms that arise from an effective description of system-enviroment interaction. A simple and paradigmatic example of non-Hermitian transport, originally introduced by Hatano and Nelson two decades ago [N. Hatano and D.R. Nelson, Phys. Rev. Lett. 77, 570 (1996)], is the hopping dynamics of a quantum particle on a one-dimensional tight-binding lattice in the presence of an imaginary vectorial potential. The imaginary gauge field can prevent Anderson localization via non-Hermitian delocalization, opening up a mobility region and realizing robust transport immune to disorder and backscattering. Like for robust transport of topologically-protected edge states in quantum Hall and topological insulator systems, non-Hermitian robust transport in the Hatano- Nelson model is unidirectional. However, there is not any physical impediment to observe robust bidirectional non-Hermitian transport. Here it is shown that in a quasi-one dimensional zigzag lattice, with non-Hermitian (imaginary) hopping amplitudes and a synthetic gauge field, robust transport immune to backscattering can occur bidirectionally along the lattice.

to appear in Phys. Rev. B (7 pages, 7 figures)

References in corpus (44)

• Topological Insulators
• Topological insulators and superconductors
• Topological Photonics
• Localization transitions in non-Hermitian quantum mechanics
• Probing topological invariants in the bulk of a non-Hermitian optical system
• Vortex Pinning and Non-Hermitian Quantum Mechanics
• Edge states and topological phases in non-Hermitian systems
• Topological Transition in a Non-Hermitian Quantum Walk
• Topologically protected defect states in open photonic systems with non-hermitian charge-conjugation and parity-time symmetry
• Non-Hermitian Delocalization and Eigenfunctions
• Robust light transport in non-Hermitian photonic lattices
• Non-Hermitian Localization and Population Biology
• A review of progress in the physics of open quantum systems: theory and experiment
• Heralded magnetism in non-Hermitian atomic systems
• Non-Hermitian transparency and one-way transport in low-dimensional lattices by an imaginary gauge field
• Entanglement and spin squeezing in non-Hermitian phase transitions
• Theory of directed localization in one dimension
• Invisibility in non-Hermitian tight-binding lattices
• S-matrix theory for transmission through billiards in tight-binding approach
• Non-Hermitian Localization in Biological Networks
• Winding Numbers, Complex Currents, and Non-Hermitian Localization
• Superradiance Transition in Transport Through Nanosystems
• Spectral and transport properties of time-periodic PT-symmetric tight-binding lattices
• Parity-time symmetry breaking in magnetic systems
• Spontaneous PT symmetry breaking and quantum phase transitions in dimerized spin chains
• Non-reciprocal transmission in photonic lattices based on unidirectional coherent perfect absorption
• Perfect State Transfer in PT-symmetric Non-Hermitian Networks
• Phase Transitions in Dissipative Quantum Transport and Mesoscopic Nuclear Spin Pumping
• Reciprocal and unidirectional scattering of parity-time symmetric structures
• Asymmetric transmission through a flux-controlled non-Hermitian scattering center
• Non-Hermitian tight-binding network engineering
• Conventional quantum phase transition driven by complex parameter in non-Hermitian PT-symmetric Ising model
• Nonhermitian transport effects in coupled-resonator optical waveguides
• Localization-delocalization transition in disordered systems with a direction
• Bloch oscillations in non-Hermitian lattices with trajectories in complex plane
• Parity-time symmetry-breaking mechanism of dynamic Mott transitions in dissipative systems
• Delocalization in an open one-dimensional chain in an imaginary vector potential
• Coherent transport in multi-branch circuits
• Generation of Bell, W and GHZ states via exceptional points in non-Hermitian quantum spin systems
• Geometric phase and phase diagram for non-Hermitian quantum XY model
• Electron and Spin Transport in the Presence of Complex Absorbing Potential
• Two-dimensional Non-Hermitian Delocalization Transition as a Probe for the Localization Length
• Critical States Embedded in the Continuum
• Cumulants of time-integrated observables of closed quantum systems and PT-symmetry, with an application to the quantum Ising chain

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• Implementing non-Abelian Hatano-Nelson model in electric circuits
• Dynamics of non-Hermitian Floquet Wannier-Stark system
• Mobility rings in a non-Hermitian non-Abelian quasiperiodic lattice
• Gauge Field Induced Unconventional Skin Effect in Spinful Non-Hermitian Systems
• Extended Wannier-Stark ladder and particle-pair Bloch oscillations in dimerized non-Hermitian systems
• Defect-driven incoherent skin localization
• Interplay of Disorder and Point-Gap Topology: Chiral Modes, Localization and Non-Hermitian Anderson Skin Effect in One Dimension
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