Keldysh field theory for driven open quantum systems

By Lukas M. Sieberer, M. Buchhold, S. Diehl. Reports on progress in physics. Physical Society, 2015

601 citations recorded by the source corpus.

Recent experimental developments in diverse areas—ranging from cold atomic gases to light-driven semiconductors to microcavity arrays—move systems into the focus which are located on the interface of quantum optics, many-body physics and statistical mechanics. They share in common that coherent and driven–dissipative quantum dynamics occur on an equal footing, creating genuine non-equilibrium scenarios without immediate counterpart in equilibrium condensed matter physics. This concerns both their non-thermal stationary states and their many-body time evolution. It is a challenge to theory to identify novel instances of universal emergent macroscopic phenomena, which are tied unambiguously and in an observable way to the microscopic drive conditions. In this review, we discuss some recent results in this direction. Moreover, we provide a systematic introduction to the open system Keldysh functional integral approach, which is the proper technical tool to accomplish a merger of quantum optics and many-body physics, and leverages the power of modern quantum field theory to driven open quantum systems.

Subfields: Atomic and Molecular Physics, and Optics

View Paper: https://www.semanticscholar.org/paper/3470b83cc0238b9628b81930260aded2b90efd39

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In Atomic and Molecular Physics, and Optics

Citations in the corpus

Geometry of quantum phase transitions (2019, background): “Beyond zero-temperature and thermal phase transitions, a novel type of criticalities have recently emerged in the context of non-equilibrium steady states (NESSes) of open-driven dissipative systems [123, 124, 125, 126, 127, 128, 129, 130, 131, 132, 133, 134, 135, 136, 137, 138, 139, 140, 141, 142, ”
Geometry and Response of Lindbladians (2015, neutral): “IV, we study the Kubo formula for Lindbladians and state conditions under which it reduces to a Hamiltonian-based formula.”
Open quantum systems with local and collective incoherent processes: Efficient numerical simulations using permutational invariance (2018, neutral): “[41] L.”
Quantum simulation with interacting photons (2016, methodology): “Keldysh path integral methods have been used to explore long-range properties [235, 240] and dynamical mean-field theory has been generalised to nonequilibrium scenarios [7].”
Subradiant states of quantum bits coupled to a one-dimensional waveguide (2018, background): “This combination of features suggests that waveguide QED systems should be an attractive platform to broadly explore many-body open quantum systems, whose properties have drawn significant interest in recent years [47–51].”
Colloquium: Nonthermal pathways to ultrafast control in quantum materials (2021, methodology): “, 2020), by stochastic Langevin equations describing the relevant subsystems (Sieberer et al., 2016), and by non-equilibrium Green’s functions (Schüler et al.”
Entanglement in a fermion chain under continuous monitoring (2018, background): “system approach [38–40], which focuses on the Lindblad equation, and its large deviation theory extension [26, 35, 37].”