Equilibration in<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:msup><mml:mi>φ</mml:mi><mml:mn>4</mml:mn></mml:msup></mml:math>theory in<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mn>3</mml:mn><mml:mo>+</mml:mo><mml:mn>1</mml:mn></mml:math>dimensions

Arrizabalaga, Alejandro; Smit, Jan; Tranberg, Anders

doi:10.1103/physrevd.72.025014

Cited by 99 publications

(138 citation statements)

References 76 publications

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“…This approach to renormalisation is very similar to the one used for instance in ref. [13], and is easily generalised to in principle non-renormalisable potentials. It is not, however a completely rigorous 2PI renormalisation scheme (as for instance in ref.…”

Section: Renormalisationmentioning

confidence: 99%

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On the quantum stability of Q-balls

Tranberg

Weir

2014

J. High Energ. Phys.

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We consider the evolution and decay of Q-balls under the influence of quantum fluctuations. We argue that the most important effect resulting from these fluctuations is the modification of the effective potential in which the Q-ball evolves. This is in addition to spontaneous decay into elementary particle excitations and fission into smaller Q-balls previously considered in the literature, which -like most tunnelling processes -are likely to be strongly suppressed. We illustrate the effect of quantum fluctuations in a particular model φ 6 potential, for which we implement the inhomogeneous Hartree approximation to quantum dynamics and solve for the evolution of Q-balls in 3+1 dimensions. We find that the stability range as a function of (field space) angular velocity ω is modified significantly compared to the classical case, so that small-ω Q-balls are less stable than in the classical limit, and large-ω Q-balls are more stable. This can be understood qualitatively in a simple way.

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Section: Renormalisationmentioning

confidence: 99%

“…With our parameters, given in eq. (1.7), this means 13) and the non-zero minimum v should exist (it always has positive curvature). Existence of this second mimimum is when…”

Section: Quantum Decay: Homogeneous Hartree Approximationmentioning

confidence: 99%

On the quantum stability of Q-balls

Tranberg

Weir

2014

J. High Energ. Phys.

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“…The nonequilibrium dynamics of many-body quantum systems and their pathway towards equilibrium is of fundamental importance in vastly different fields of physics. Open questions appear, for example, in high-energy physics for understanding quark-gluon plasma [1][2][3], in cosmology for describing preheating of the early Universe [4], or in the comprehension of relaxation processes in condensed-matter systems [5,6].Because of their isolation from the environment and their tunability, ultracold atom systems have triggered many studies of nonequilibrium dynamics in closed interacting quantum systems, with particular interest drawn to quantum quenches [7,8]. Important questions are related to systems where the dynamics is constrained by several constants of motion [9] and to the possible description of nonequilibrium states by generalized statistical mechanics ensembles [10,11].…”

mentioning

confidence: 99%

Multimode Dynamics and Emergence of a Characteristic Length Scale in a One-Dimensional Quantum System

et al. 2013

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We study the nonequilibrium dynamics of a coherently split one-dimensional Bose gas by measuring the full probability distribution functions of matter-wave interference. Observing the system on different length scales allows us to probe the dynamics of excitations on different energy scales, revealing two distinct length-scale-dependent regimes of relaxation. We measure the crossover length scale separating these two regimes and identify it with the prethermalized phase-correlation length of the system. Our approach enables a direct observation of the multimode dynamics characterizing one-dimensional quantum systems. The nonequilibrium dynamics of many-body quantum systems and their pathway towards equilibrium is of fundamental importance in vastly different fields of physics. Open questions appear, for example, in high-energy physics for understanding quark-gluon plasma [1][2][3], in cosmology for describing preheating of the early Universe [4], or in the comprehension of relaxation processes in condensed-matter systems [5,6].Because of their isolation from the environment and their tunability, ultracold atom systems have triggered many studies of nonequilibrium dynamics in closed interacting quantum systems, with particular interest drawn to quantum quenches [7,8]. Important questions are related to systems where the dynamics is constrained by several constants of motion [9] and to the possible description of nonequilibrium states by generalized statistical mechanics ensembles [10,11].Recently, we reported the experimental observation of prethermalization in a coherently split one-dimensional (1D) ultracold Bose gas [12], made possible by a characterization of the dynamical states through measurements of full distribution functions [13,14]. Prethermalization [15] was understood as the rapid relaxation to a steady state exhibiting thermal-like properties but differing from the true thermal equilibrium that is eventually expected to occur on longer time scales [16][17][18][19][20].In this Letter, we study the relaxation process [21] leading to the prethermalized state by measuring the full (probability) distribution functions (FDFs) of phase and contrast of matter-wave interference. We probe the 1D system on different length scales to investigate its multimode dynamics, which reveals two distinct regimes separated by a characteristic crossover length scale. We measure this characteristic length scale and identify it with the effective thermal phase-correlation length of the prethermalized system.We prepare a quasi-1D Bose gas of several thousand 87 Rb atoms in an elongated (along the z direction) magnetic microtrap on an atom chip [22] at a (tunable) temperature between 20 and 120 nK. The gas is coherently split along the radial (x) direction using a symmetric radio-frequency dressed-state double-well potential [23], creating two uncoupled 1D gases separated by a distance of 3:1 m [ Fig. 1(a)]. The longitudinal and radial trap frequencies in the double well are 7 Hz and 1.4 kHz, respectively, and the size of the...

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“…Since the structure of memory integrals and colored noise that appear in field theory, even for relatively simple effective models, is often rather complicated, one has to resort to numerical simulations to obtain exact results [7]. Analytic results, which could bring some qualitative understanding of the mechanisms involved, can only be achieved within systematic approximations [8].…”

Section: Introductionmentioning

confidence: 99%

Non-local effects at the onset of the chiral transition

Palhares¹,

Fraga²,

Kodama³

et al. 2007

Braz. J. Phys.

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Inspired by analytic results obtained for a systematic expansion of the memory kernel in dissipative quantum mechanics, we propose a phenomenological procedure to incorporate non-markovian corrections to the Langevin dynamics of an order parameter in field theory systematically. In this note, we restrict our analysis to the onset of the evolution. As an example, we consider the process of phase conversion in the chiral transition.

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Equilibration inφ4theory in3+1dimensions

Cited by 99 publications

References 76 publications

On the quantum stability of Q-balls

On the quantum stability of Q-balls

Multimode Dynamics and Emergence of a Characteristic Length Scale in a One-Dimensional Quantum System

Non-local effects at the onset of the chiral transition

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