Driven Markovian Quantum Criticality

Marino, Jamir; Diehl, Sebastian

doi:10.1103/physrevlett.116.070407

Cited by 115 publications

(123 citation statements)

References 55 publications

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“…In particular, this occurs in systems with dark states -pure quantum states which are dynamical fixed points of driven-dissipative evolution [54,110]. In these cases, classical dynamical field theories are inappropriate, which calls for the development of quantum dynamical field theories [28]. These developments are just in their beginnings.…”

Section: B Theoretical Concepts and Techniquesmentioning

confidence: 99%

“…(16), has this property, as can be seen by setting ψ + = ψ − (i.e., φ q = 0) in Eq. (28). Indeed, this operation on the Keldysh action may be interpreted as taking the trace in the operator based master equation Eq.…”

Section: Single-mode Cavity and Some Exact Propertiesmentioning

confidence: 99%

“…However, in driven open quantum systems there are also circumstances where this is inappropriate, and the full quantum problem has to be analyzed, cf. [28].…”

Section: Driven-dissipative Condensatementioning

confidence: 99%

“…(16): operators acting on the density matrix from the left (right) reside on the forward, + (backward, -) contour. This gives a simple and direct translation table from the bosonic quantum master equation to the Markovian Keldysh action (28), with the crucial caveat of normal ordering to be taken into account before performing the translation. coherent states are not eigenstates.…”

Section: A From the Quantum Master Equation To The Keldysh Functionamentioning

confidence: 99%

“…This rules out conventional theoretical equilibrium concepts and techniques to be used, and calls for the development of new theoretical tools. The physical framework sparks broader theoretical questions on the existence of new phases of bosonic [18,19] and fermionic [20][21][22] matter, the nature of phase transitions in such driven systems [10,[23][24][25][26], and the observable consequences of quantum mechanics at the largest scales [27,28]. Beyond stationary states [29], a fundamental challenge is set by the time evolution of interacting quantum systems, which is currently explored theoretically [30][31][32][33][34][35][36] and experimentally in cold atomic [37][38][39][40][41] and photonic systems [42].…”

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confidence: 99%

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Keldysh field theory for driven open quantum systems

2016

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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, as well as 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. CONTENTS

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Section: B Theoretical Concepts and Techniquesmentioning

confidence: 99%

Section: Single-mode Cavity and Some Exact Propertiesmentioning

confidence: 99%

“…However, in driven open quantum systems there are also circumstances where this is inappropriate, and the full quantum problem has to be analyzed, cf. [28].…”

Section: Driven-dissipative Condensatementioning

confidence: 99%

Section: A From the Quantum Master Equation To The Keldysh Functionamentioning

confidence: 99%

mentioning

confidence: 99%

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Keldysh field theory for driven open quantum systems

2016

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Concluding Remarks

Pisarchik

Hramov

2022

Springer Series in Synergetics

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Estimation and Prediction of Typhoons and Wave Overtopping in Qingdao, China

Wang

Hao

et al. 2020

J. Ocean Univ. China

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When introducing physics-constrained deep learning solutions to the volumetric super-resolution of scientific data, the training is challenging to converge and always time-consuming. We propose a new hierarchical sampling method based on octree to solve these difficulties. In our approach, scientific data is preprocessed before training, and a hierarchical octreebased data structure is built to guide sampling on the latent context grid. Each leaf node in the octree corresponds to an indivisible subblock of the volumetric data. The dimensions of the subblocks are different, making the number of sample points in each randomly cropped training data block to be adaptive. We reconstruct the octree at intervals according to loss distribution to perform the multi-stage training. With the Rayleigh-Bénard convection problem, we deploy our method to state-of-the-art models. We constructed adequate experiments to evaluate the training performance and model accuracy of our method. Experiments indicate that our sampling optimization improves the convergence performance of physics-constrained deep learning super-resolution solutions. Furthermore, the sample points and training time are significantly reduced with no drop in model accuracy. We also test our method in training tasks of other deep neural networks, and the results show our sampling optimization has extensive effectiveness and applicability. The code is publicly available at https://github.com/xinjiewang/octree-based sampling.

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Driven Markovian Quantum Criticality

Cited by 115 publications

References 55 publications

Keldysh field theory for driven open quantum systems

Keldysh field theory for driven open quantum systems

Concluding Remarks

Estimation and Prediction of Typhoons and Wave Overtopping in Qingdao, China

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