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Maraga, Anna; Chiocchetta, Alessio; Mitra, Aditi; Gambassi, Andrea

doi:10.1103/physreve.92.042151

Cited by 82 publications

(168 citation statements)

References 78 publications

(236 reference statements)

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“…Closely related dynamical critical phenomena include (wave-)turbulence [13,14], as well as superfluid or quantum turbulence [15,16]. Universal scaling far from equilibrium has recently been analyzed for different types of quantum quenches [17][18][19][20][21][22][23][24][25][26][27][28], see also [29][30][31][32][33] for studies of phase-ordering kinetics in ultracold Bose gases. While coarsening phenomena have partly been associated with the standard dynamical universality classes [11], a rigorous renormalization-group…”

Section: Introductionmentioning

confidence: 99%

Strongly anomalous non-thermal fixed point in a quenched two-dimensional Bose gas

2017

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Universal scaling behavior in the relaxation dynamics of an isolated two-dimensional Bose gas is studied by means of semi-classical stochastic simulations of the Gross-Pitaevskii model. The system is quenched far out of equilibrium by imprinting vortex defects into an otherwise phase-coherent condensate. A strongly anomalous non-thermal fixed point is identified, associated with a slowed decay of the defects in the case that the dissipative coupling to the thermal background noise is suppressed. At this fixed point, a large anomalous exponent h - 3 and, related to this, a large dynamical exponent  z 5 are identified. The corresponding power-law decay is found to be consistent with three-vortex-collision induced loss. The article discusses these aspects of non-thermal fixed points in the context of phaseordering kinetics and coarsening dynamics, thus relating phenomenological and analytical approaches to classifying far-from-equilibrium scaling dynamics with each other. In particular, a close connection between the anomalous scaling exponent η, introduced in a quantum-field theoretic approach, and conservation-law induced scaling in classical phase-ordering kinetics is revealed. Moreover, the relation to superfluid turbulence as well as to driven stationary systems is discussed. analysis as well as a comprehensive classification scheme of far-from-equilibrium universal dynamics are lacking so far.Here we consider possible universal scaling behavior of a time-evolving isolated two-dimensional (2D) quantum-degenerate Bose gas quenched far out of equilibrium. We discuss the numerically found scaling in time and in the spatial degrees of freedom in the framework of non-thermal fixed points [34][35][36][37][38]. This approach builds on a scaling analysis of non-perturbative dynamic equations for field correlation functions in the spirit of a renormalization-group approach to far-from-equilibrium dynamics [35,[39][40][41][42][43][44]. Close to a non-thermal fixed point, correlation functions show a time evolution which takes the form of a rescaling in space and time [38]. In consequence, the relaxation is critically slowed down, while correlations evolve as a power law rather than exponentially in time.We prepare far-from-equilibrium states by imprinting phase defects, i.e., quantum vortex excitations, into an otherwise strongly phase-coherent condensate. Different kinds of initial states are realized by varying the number of defects, their arrangement, and their winding numbers. Independently of the microscopic details of the initial state, such as the statistics of fluctuations, the system is attracted to one or more non-thermal fixed points where the information about these details gets lost. Close to such a fixed point the correlations exhibit and evolve according to universal power laws [45][46][47][48][49][50].More than one attractor can exist for the dynamical evolution of the system, as we will demonstrate being the case for the 2D Bose gas studied here. Consequently, different types of universal evolution wit...

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Section: Introductionmentioning

confidence: 99%

Strongly anomalous non-thermal fixed point in a quenched two-dimensional Bose gas

2017

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“…Its equilibrium properties are exactly soluble and capture the correct topology of phase diagrams in various dimensions. It is also a canonical model for the unitary dynamics of interacting theories and a workhorse of many fields including cosmology and condensed matter [26][27][28][29][30][31][32][33][34][35]. The Floquet dynamics in the infinite N limit is the focus of this work.…”

Section: Introductionmentioning

confidence: 99%

Interaction-stabilized steady states in the drivenO(N)model

Chandran

Sondhi

2016

Phys. Rev. B

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We study periodically driven bosonic scalar field theories in the infinite N limit. It is well-known that the free theory can undergo parametric resonance under monochromatic modulation of the mass term and thereby absorb energy indefinitely. Interactions in the infinite N limit terminate this increase for any choice of the UV cutoff and driving frequency. The steady state has non-trivial correlations and is synchronized with the drive. The O(N ) model at infinite N provides the first example of a clean interacting quantum system that does not heat to infinite temperature at any drive frequency.

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“…To this end, we employ the 2-particle irreducible (2PI) effective action approach on the closed Keldysh contour including corrections up to next-to-leading order (NLO) in 1/ N which allow the system to thermalize. The O(N )-model is a well established model for interacting many-body systems, both in condensed matter and cosmology3436373839404142434445. In particular, the presence of nontrivial interactions at NLO as well as the bosonic nature of excitations render the O(N )-model useful for studying heating of a driven many-body system to infinite temperature.…”

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Floquet prethermalization and regimes of heating in a periodically driven, interacting quantum system

Weidinger

Knap

2017

Sci Rep

141

123

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We study the regimes of heating in the periodically driven O(N)-model, which is a well established model for interacting quantum many-body systems. By computing the absorbed energy with a non-equilibrium Keldysh Green’s function approach, we establish three dynamical regimes: at short times a single-particle dominated regime, at intermediate times a stable Floquet prethermal regime in which the system ceases to absorb, and at parametrically late times a thermalizing regime. Our simulations suggest that in the thermalizing regime the absorbed energy grows algebraically in time with an exponent that approaches the universal value of 1/2, and is thus significantly slower than linear Joule heating. Our results demonstrate the parametric stability of prethermal states in a many-body system driven at frequencies that are comparable to its microscopic scales. This paves the way for realizing exotic quantum phases, such as time crystals or interacting topological phases, in the prethermal regime of interacting Floquet systems.

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Aging and coarsening in isolated quantum systems after a quench: Exact results for the quantumO(N)model withN→∞

Cited by 82 publications

References 78 publications

Strongly anomalous non-thermal fixed point in a quenched two-dimensional Bose gas

Strongly anomalous non-thermal fixed point in a quenched two-dimensional Bose gas

Interaction-stabilized steady states in the drivenO(N)model

Floquet prethermalization and regimes of heating in a periodically driven, interacting quantum system

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