Correlation induced memory effects in the transport properties of low dimensional systems

Abstract

We demonstrate the remnant presence of {\em initial} correlations in the {\em steady-state} electrical current flowing between low-dimensional interacting leads. The leads are described as Luttinger liquids and electrons can tunnel via a quantum point-contact. We derive an analytic result for the time-dependent current and show that ground-state correlations have a large impact on the relaxation and long-time behavior. In particular, the I-V characteristic cannot be reproduced by quenching the interaction in time. We further present a universal formula of the steady-state current $j_S$ for an arbitrary sequence of interaction quenches. It is established that $j_S$ is history dependent provided that the switching process is non-smooth.

To appear in Phys. Rev. Lett

References in corpus (12)

• The Luttinger model following a sudden interaction switch-on
• Dynamical phase transition in correlated fermionic lattice systems
• Strongly correlated fermions after a quantum quench
• Diffusion and ballistic transport in one-dimensional quantum systems
• Transient dynamics of the Anderson impurity model out of equilibrium
• Bound states in ab initio approaches to quantum transport: A time-dependent formulation
• Relaxation vs decoherence: Spin and current dynamics in the anisotropic Kondo model at finite bias and magnetic field
• Spin-Dependent Ringing and Beats in a Quantum Dot System
• Charge transport in a Tomonaga-Luttinger liquid: effects of pumping and bias
• Time-dependent evolution of two coupled Luttinger liquids
• The effect of time-dependent coupling on non-equilibrium steady states
• Transient effects in the backscattered current of a Luttinger liquid

Cited by in corpus (30)

• Charge dynamics in molecular junctions: Nonequilibrium Green's Function approach made fast
• Crossover from adiabatic to sudden interaction quench in a Luttinger liquid
• Enhanced thermopower under time-dependent gate voltage
• Linear quantum quench in the Heisenberg XXZ chain: time dependent Luttinger model description of a lattice system
• Optimal control for unitary preparation of many-body states: application to Luttinger liquids
• Image charge dynamics in time-dependent quantum transport
• On the thermalization of a Luttinger liquid after a sequence of sudden interaction quenches
• Wick Theorem for General Initial States
• Non-equilibrium quantum transport in fully interacting single-molecule nanojunctions
• Time-resolved charge fractionalization in inhomogeneous Luttinger liquids
• Numerical method for non-linear steady-state transport in one-dimensional correlated conductors
• Transport Across an Impurity in One Dimensional Quantum Liquids Far From Equilibrium
• Image effects in transport at metal-molecule interfaces
• Quantum quench dynamics of the Bose-Hubbard model at finite temperatures
• Steady-state and quench dependent relaxation of a quantum dot coupled to one-dimensional leads
• Non-equilibrium effects on charge and energy partitioning after an interaction quench
• Probing electron-hole weights of an Andreev bound state by transient currents
• Many-body current formula and current conservation for non-equilibrium fully interacting nanojunctions
• Thermally isolated Luttinger liquids with noisy Hamiltonians
• Lindblad Formalism based on Fermion-to-Qubit mapping for Non-equilibrium Open-Quantum Systems
• Universal transport dynamics in a quenched tunnel-coupled Luttinger liquid
• Quantification of the memory effect of steady-state currents from interaction-induced transport in quantum systems
• Optimal protocols for finite-duration quantum quenches in the Luttinger model
• Transient and finite size effects in transport properties of a quantum wire
• Pumping current of a Luttinger liquid with finite length
• Non-Markovian transients in transport across chiral quantum wires using space-time non-equilibrium Green functions
• Non-equilibrium renormalised contacts for transport in nanodevices with interaction: a quasi-particle approach
• Renormalization of the Coulomb blockade gap due to extended tunneling in nanoscopic junctions
• Non-equilibrium transport with self-consistent renormalised contacts for a single-molecule nanodevice with electron-vibron interaction
• On the modeling of irreversibility by relaxator Liouville dynamics