Nonequilibrium phase transition in transport through a driven quantum point contact
arXiv:2006.02400 · doi:10.1103/PhysRevB.103.L041405
Abstract
We study transport of noninteracting fermions through a periodically driven quantum point contact (QPC) connecting two tight-binding chains. Initially, each chain is prepared in its own equilibrium state, generally with a bias in chemical potentials and temperatures. We examine the heating rate (or, alternatively, energy increase per cycle) in the nonequilibrium time-periodic steady state established after initial transient dynamics. We find that the heating rate vanishes identically when the driving frequency exceeds the bandwidth of the chain. We first establish this fact for a particular type of QPC where the heating rate can be calculated analytically. Then we verify numerically that this nonequilibrium phase transition is present for a generic QPC. Finally, we derive this effect perturbatively in leading order for cases when the QPC Hamiltonian can be considered as a small perturbation. Strikingly, we discover that for certain QPCs the current averaged over the driving cycle also vanishes above the critical frequency, despite a persistent bias. This shows that a driven QPC can act as a frequency-controlled quantum switch.
References in corpus (41)
- Non-Abelian Anyons and Topological Quantum Computation
- Universal High-Frequency Behavior of Periodically Driven Systems: from Dynamical Stabilization to Floquet Engineering
- The Magnus expansion and some of its applications
- Electron Counting Statistics and Coherent States of Electric Current
- Driven quantum transport on the nanoscale
- A Thouless Quantum Pump with Ultracold Bosonic Atoms in an Optical Superlattice
- Topological Thouless Pumping of Ultracold Fermions
- Equilibrium states of generic quantum systems subject to periodic driving
- Long-time behavior of periodically driven isolated interacting lattice systems
- Floquet scattering theory of quantum pumps
- Floquet-Magnus Theory and Generic Transient Dynamics in Periodically Driven Many-Body Quantum Systems
- Exponentially slow heating in periodically driven many-body systems
- Periodically driven ergodic and many-body localized quantum systems
- Permeable conformal walls and holography
- Many-body energy localization transition in periodically driven systems
- Minimal excitation states of electrons in one-dimensional wires
- Observation of Quantized Conductance in Neutral Matter
- Coherent States of Alternating Current,
- Periodic steady state and interference in a periodically driven quantum system
- Two-terminal transport measurements with cold atoms
- Reflection and Transmission for Conformal Defects
- Non-adiabatic quantized charge pumping with tunable-barrier quantum dots: a review of current progress
- A Green-function approach to transport phenomena in quantum pumps
- Scattering matrix approach to the description of quantum electron transport
- Current Noise in ac-Driven Nanoscale Conductors
- Coherent destruction of tunneling, dynamic localization and the Landau-Zener formula
- Dynamical Stability of a Many-body Kapitza Pendulum
- Integrable Floquet dynamics
- On entanglement evolution across defects in critical chains
- Band and correlated insulators of cold fermions in a mesoscopic lattice
- Non-equilibrium phase transition in a periodically driven XY spin chain
- Deterministic creation and braiding of chiral edge vortices
- Elementary events of electron transfer in a voltage-driven quantum point contact
- Scattering Approach to Counting Statistics in Quantum Pumps
- Fredholm determinants, full counting statistics and Loschmidt echo for domain wall profiles in one-dimensional free fermionic chains
- Non-equilibrium quantum transport in presence of a defect: the non-interacting case
- Fermi gas response to time-dependent perturbations
- Influence of microwave fields on the electron transport through a quantum dot in the presence of a direct tunneling between leads
- Renormalization in periodically driven quantum dots
- Effects of local periodic driving on transport and generation of bound states
- Divergence of the Floquet-Magnus expansion in a periodically driven one-body system with energy localization
Cited by in corpus (18)
- Unbounded entanglement production via a dissipative impurity
- Domain wall melting across a defect
- Universal subdiffusive behavior at band edges from transfer matrix exceptional points
- Entanglement negativity in a fermionic chain with dissipative defects: Exact results
- Adiabatic theorem for closed quantum systems initialized at finite temperature
- Floquet-engineered pair and single particle filter in the Fermi Hubbard model
- Sub-diffusive phases in open clean long-range systems
- Dynamical phase diagram of a one dimensional Bose gas in a box with a tunable weak-link: from Bose-Josephson oscillations to shock waves
- Momentum resolved Floquet-engineered pair and single particle filter in the Fermi Hubbard model
- Quench dynamics of noninteracting fermions with a delta impurity
- On Landauer--Büttiker formalism from a quantum quench
- Out-of-equilibrium dynamics of the Kitaev model on the Bethe lattice via coupled Heisenberg equations
- Effect of dephasing on the current through a periodically driven quantum point contact
- Effect of external potential on the energy transport in harmonically driven segmented Frenkel-Kontorova lattices
- Polynomially restricted operator growth in dynamically integrable models
- A map between time-dependent and time-independent quantum many-body Hamiltonians
- Fermionic transport through a driven quantum point contact: breakdown of Floquet thermalization beyond a critical driving frequency
- Analog Circuit-QED Simulator of Quantum Spin Dynamics Through the Extended Bose-Hubbard Model