2019
DOI: 10.1103/physreva.99.063622
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Low-energy effective theory of nonthermal fixed points in a multicomponent Bose gas

Abstract: Non-thermal fixed points in the evolution of a quantum many-body system quenched far out of equilibrium manifest themselves in a scaling evolution of correlations in space and time. We develop a low-energy effective theory of non-thermal fixed points in a bosonic quantum many-body system by integrating out long-wavelength density fluctuations. The system consists of N distinguishable spatially uniform Bose gases with U(N)symmetric interactions. The effective theory describes interacting Goldstone modes of the … Show more

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Cited by 33 publications
(27 citation statements)
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References 105 publications
(279 reference statements)
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“…As for the lattice results shown in the left panel, the lowest momenta describe a rather flat distribution, while higher momenta follow a p −κ power law with κ = 4 for the kinetic theory in d = 3 dimensions (see also [33]) and κ 4 − 4.5 for the lattice results. We note that the observed scaling can also be described with a recently developed effective low-energy theory [34].…”
Section: Ntfps With Ultra-cold Atoms and Cosmological Modelssupporting
confidence: 56%
See 1 more Smart Citation
“…As for the lattice results shown in the left panel, the lowest momenta describe a rather flat distribution, while higher momenta follow a p −κ power law with κ = 4 for the kinetic theory in d = 3 dimensions (see also [33]) and κ 4 − 4.5 for the lattice results. We note that the observed scaling can also be described with a recently developed effective low-energy theory [34].…”
Section: Ntfps With Ultra-cold Atoms and Cosmological Modelssupporting
confidence: 56%
“…Its universal quantities can be reproduced by the Large-N kinetic theory [10,30]. Despite the progress in recent years, some aspects of the IR region are not fully understood yet, as, e.g., when quasiparticles or defects dominate for different N [9,10,34,36,45].…”
Section: Resultsmentioning
confidence: 99%
“…Accordingly, this corresponds to scaling towards low momentum modes in Fourier space. Asymptotically, the scaling function obeys [42] lim…”
Section: Comparison To Bose Condensation Of Scalar Fieldsmentioning
confidence: 99%
“…Conclusions.-Our results on self-similar relaxation in the Heisenberg model extend the paradigm of scaling close to non-thermal fixed points to spin models [24][25][26][27][28][29][30][31][32][33][34][35][36][37][38][39][40]. In this regard, we plan to develop in the near future a non-equilibrium renormalization group theory to inspect the nature of the universality class unveiled in this work.…”
mentioning
confidence: 56%
“…However, self-similar scaling has recently been shown to occur also in isolated systems where the system acts as its own bath. Prominent examples of dynamical scaling in isolated quantum many-body systems include pre-thermal critical states [5,[13][14][15][16][17][18][19][20][21][22][23] and nonthermal fixed points in scalar and gauge theories [24][25][26][27][28][29][30][31][32][33][34][35][36][37][38][39][40]. Research into these phenomena is further fueled by a surge of experimental evidence for universal dynamics in cold atoms [41][42][43][44][45][46][47], and dynamical phase transitions in trapped ions [48] and cavity QED [49].…”
mentioning
confidence: 99%