The effect of time-dependent coupling on non-equilibrium steady states
arXiv:0708.3931 · doi:10.1007/s00023-009-0400-5
Abstract
Consider (for simplicity) two one-dimensional semi-infinite leads coupled to a quantum well via time dependent point interactions. In the remote past the system is decoupled, and each of its components is at thermal equilibrium. In the remote future the system is fully coupled. We define and compute the non equilibrium steady state (NESS) generated by this evolution. We show that when restricted to the subspace of absolute continuity of the fully coupled system, the state does not depend at all on the switching. Moreover, we show that the stationary charge current has the same invariant property, and derive the Landau-Lifschitz and Landauer-Buttiker formulas.
30 pages, submitted
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- Non-equilibrium steady-states for interacting open systems: exact results
- Adiabatically switched-on electrical bias in continuous systems, and the Landauer-Buttiker formula
- Adiabatic non-equilibrium steady states in the partition free approach
- On the steady state correlation functions of open interacting systems
- A partition-free approach to transient and steady-state charge currents
- On the cotunneling regime of interacting quantum dots
- Generalized Master Equation Approach to Time-Dependent Many-Body Transport
- Memory effects in non-interacting mesoscopic transport
- On the self-consistent Landauer-Büttiker formalism
- A Geometric Approach to the Landauer-Büttiker Formula