Keldysh field theory for driven open quantum systems.

@article{Sieberer2016KeldyshFT,
  title={Keldysh field theory for driven open quantum systems.},
  author={Lukas M. Sieberer and M. Buchhold and Sebastian Diehl},
  journal={Reports on progress in physics. Physical Society},
  year={2016},
  volume={79 9},
  pages={
          096001
        }
}
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… 
View on PubMed
arxiv.org
273 Citations
Highly Influential Citations
16
Background Citations
74
Methods Citations
33
Results Citations
1

273 Citations

Citation Type

Citation Type

Emergent equilibrium in many-body optical bistability.
TLDR
This work studies the driven-dissipative Bose-Hubbard model, a minimal description of numerous atomic, optical, and solid-state systems in which particle loss is countered by coherent driving and establishes new connections between traditional techniques from many-body physics (functional integrals) and quantum optics (the system-size expansion).
Driven-Dissipative Quantum Many-Body Systems
My PhD was devoted to the study of driven-dissipative quantum many-body systems. These systems represent natural platforms to explore fundamental questions about matter under non-equilibrium…
Dynamical Mean-Field Theory for Open Markovian Quantum Many Body Systems
Open quantum many body systems describe several quantum simulators, ranging from arrays of superconducting circuits hosting correlated states of light, to ultracold atoms in optical lattices in…
Emerging Dissipative Phases in a Superradiant Quantum Gas with Tunable Decay
Exposing a many-body system to external drives and losses can transform the nature of its phases and opens perspectives for engineering new properties of matter. How such characteristics are related…
Quantum fluctuations and correlations in open quantum Dicke models
In the vicinity of ground-state phase transitions quantum correlations can display non-analytic behavior and critical scaling. This signature of emergent collective effects has been widely…
Nonequilibrium effective field theory for absorbing state phase transitions in driven open quantum spin systems
Phase transitions to absorbing states are among the simplest examples of critical phenomena out of equilibrium. The characteristic feature of these models is the presence of a fluctuationless…
Orthogonality Catastrophe in Dissipative Quantum Many-Body Systems.
TLDR
It is shown that the fidelity F(t), giving a measure for distance of the time-evolved state from the initial one, displays a universal scaling form F( t)∝t^{θ}e-γt, when the system supports long-range correlations, in a fashion reminiscent of traditional instances of orthogonality catastrophe in condensed matter.
Quantum simulation with interacting photons
Enhancing optical nonlinearities so that they become appreciable on the single photon level and lead to nonclassical light fields has been a central objective in quantum optics for many years. After…
Thermalization dynamics of two correlated bosonic quantum wires after a split
Cherently splitting a one-dimensional Bose gas provides an attractive, experimentally established platform to investigate many-body quantum dynamics. At short enough times, the dynamics is dominated…
Fluctuations in and out of equilibrium: Thermalization, quantum measurements and Coulomb disorder
This purely theoretical thesis covers aspects of two contemporary research fields: the non-equilibrium dynamics in quantum systems and the electronic properties of three-dimensional topological…
...
1
2
3
4
5
...

References

SHOWING 1-10 OF 351 REFERENCES
Engineered Open Systems and Quantum Simulations with Atoms and Ions
Phase transition of light in cavity QED lattices.
TLDR
It is shown that the competition between photon delocalization and Rabi nonlinearity drives the system across a novel Z(2) parity symmetry-breaking quantum criticality between two gapped phases that share similarities with the Dicke transition of quantum optics and the Ising critical point of quantum magnetism.
Quantum many‐body phenomena in coupled cavity arrays
The increasing level of experimental control over atomic and optical systems gained in recent years has paved the way for the exploration of new physical regimes in quantum optics and atomic physics,…
Excitations of optically driven atomic condensate in a cavity: theory of photodetection measurements
Recent experiments have demonstrated an open system realization of the Dicke quantum phase transition in the motional degrees of freedom of an optically driven Bose–Einstein condensate in a cavity.…
Quantum trajectories and open many-body quantum systems
The study of open quantum systems – microscopic systems exhibiting quantum coherence that are coupled to their environment – has become increasingly important in the past years, as the ability to…
Dicke-model quantum spin and photon glass in optical cavities: Nonequilibrium theory and experimental signatures
In the context of ultracold atoms in multimode optical cavities, the appearance of a quantum-critical glass phase of atomic spins has been predicted recently. Due to the long-range nature of the…
Keldysh approach for nonequilibrium phase transitions in quantum optics: Beyond the Dicke model in optical cavities
We investigate non-equilibrium phase transitions for driven atomic ensembles, interacting with a cavity mode, coupled to a Markovian dissipative bath. In the thermodynamic limit and at…
Thermalization and its mechanism for generic isolated quantum systems
TLDR
It is demonstrated that a generic isolated quantum many-body system does relax to a state well described by the standard statistical-mechanical prescription, and it is shown that time evolution itself plays a merely auxiliary role in relaxation, and that thermalization instead happens at the level of individual eigenstates, as first proposed by Deutsch and Srednicki.
Out-of-equilibrium evolution of kinetically constrained many-body quantum systems under purely dissipative dynamics.
TLDR
This study sheds light on the limitations of the use of classical rate equations for capturing the non-equilibrium behavior of this many-body system and shows that in the quantum case the relaxation can be orders of magnitude slower than the classical one due to the presence of quantum coherences.
An open-system quantum simulator with trapped ions
TLDR
This work combines multi-qubit gates with optical pumping to implement coherent operations and dissipative processes and illustrates the ability to engineer the open-system dynamics through the dissipative preparation of entangled states, the simulation of coherent many-body spin interactions, and the quantum non-demolition measurement of multi- qubit observables.
...
1
2
3
4
5
...