Time-dependent current into and through multilevel parallel quantum dots in a photon cavity

Abstract

We analyze theoretically the charging current into, and the transport current through, a nanoscale two-dimensional electron system with two parallel quantum dots embedded in a short wire placed in a photon cavity. A plunger gate is used to place specific many-body states of the interacting system in the bias window defined by the external leads. We show how the transport phenomena active in the many-level complex central system strongly depend on the gate voltage. We identify a resonant transport through the central system as the two spin components of the one-electron ground state are in the bias window. This resonant transport through the lowest energy electron states seems to a large extent independent of the detuned photon field when judged from the transport current. This could be expected in the small bias regime, but an observation of the occupancy of the states of the system reveals that this picture is not entirely true. The current does not reflect slower photon-active internal transitions bringing the system into the steady state. The number of initially present photons determines when the system reaches the real steady state. With two-electron states in the bias window we observe a more complex situation with intermediate radiative and nonradiative relaxation channels leading to a steady state with a weak nonresonant current caused by inelastic tunneling through the two-electron ground state of the system. The presence of the radiative channels makes this phenomena dependent on the number of photons initially in the cavity.

RevTeX, 13 pages with included 16 eps figures

References in corpus (9)

• QuTiP 2: A Python framework for the dynamics of open quantum systems
• Circuit Quantum Electrodynamics with a Spin Qubit
• Circuit Quantum Electrodynamics Architecture for Gate-Defined Quantum Dots in Silicon
• Quantum dynamical field theory for non-equilibrium phase transitions in driven open systems
• Cavity photons as a probe for charge relaxation resistance and photon emission in a quantum dot coupled to normal and superconducting continua
• Delocalization of electrons by cavity photons in transport through a quantum dot molecule
• Iterative solutions to the steady state density matrix for optomechanical systems
• Nonperturbative Approach to Circuit Quantum Electrodynamics
• Regimes of radiative and nonradiative transitions in transport through an electronic system in a photon cavity reaching a steady state

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• Generalized Master Equation Approach to Time-Dependent Many-Body Transport
• Cavity-photon induced high order transitions between ground states of quantum dots
• Properties of bilayer graphene-like Si${}_2$C${}_{14}$ semiconductor using first-principle calculations