Multiple perfectly-transmitting states of a single-level at strong coupling

Abstract

We study transport through a single-level system placed between two reservoirs with band-structure, taking strong level-reservoir coupling of the order of the energy-scales of these band-structures. An exact solution in the absence of interactions gives the nonlinear Lamb shift. As expected, this moves the perfectly-transmitting state (the reservoir state that flows through the single-level without reflection), and can even turn it into a bound-state. However, here we show that it can also create additional pairs of perfectly-transmitting states at other energies, when the coupling exceeds critical values. Then the single-level's transmission function resembles that of a multi-level system. Even when the discrete level is outside the reservoirs' bands, additional perfectly-transmitting states can appear inside the band when the coupling exceeds a critical value. We propose observing the bosonic version of this in microwave cavities, and the fermionic version in the conductance of a quantum dot coupled to 1D or 2D reservoirs.

Published version plus extra appendices (9 pages with 6 figures)

References in corpus (12)

• Gate-Voltage Control of Chemical Potential and Weak Anti-localization in Bismuth Selenide
• Quantum Thermodynamics: A Nonequilibrium Green's Functions Approach
• Spontaneous Emission in a Matter-Wave Open Quantum System
• Bound states in the continuum in a single-level Fano-Anderson model
• Fermionic reaction coordinates and their application to an autonomous Maxwell demon in the strong coupling regime
• Bound states in ab initio approaches to quantum transport: A time-dependent formulation
• Dirac Point and Edge States in a Microwave Realization of Tight-Binding Graphene-like Structures
• A universal approach to quantum thermodynamics in the strong coupling regime
• Non-equilibrium quantum phase transition via entanglement decoherence dynamics
• Landau-Zener-Stueckelberg physics with a singular continuum of states
• Signature of the transition to a bound state in thermoelectric quantum transport
• Transmission from reverse reaction coordinate mappings

Cited by in corpus (2)

• Effective time-dependent temperature for fermionic master equations beyond the Markov and the secular approximations
• Quantum system dynamics with a weakly nonlinear Josephson junction bath