Nonequilibrium Fock space for the electron transport problem

Abstract

Based on the formalism of thermo field dynamics we propose a concept of nonequilibrium Fock space and nonequilibrium quasiparticles for quantum many-body system in nonequilibrium steady state. We develop a general theory as well as demonstrate the utility of the approach on the example of electron transport through the interacting region. The proposed approach is compatible with advanced methods of electronic structure calculations such as coupled cluster theory and configuration interaction.

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• Non-equilibrium phase transition in a periodically driven XY spin chain
• Time-dependent quantum transport: causal superfermions, exact fermion-parity protected decay mode, and Pauli exclusion principle for mixed quantum states
• Closed hierarchy of correlations in Markovian open quantum systems
• Five approaches to exact open-system dynamics: Complete positivity, divisibility and time-dependent observables
• Nonequilibrium Quantum Phase Transitions in the XY model: comparison of unitary time evolution and reduced density matrix approaches
• Simulation of many-electron systems that exchange matter with the environment