Inflationary Quasiparticle Creation and Thermalization Dynamics in Coupled Bose-Einstein Condensates

Posazhennikova, Anna; Trujillo-Martinez, Mauricio; Kroha, Johann

doi:10.1103/physrevlett.116.225304

Cited by 18 publications

(51 citation statements)

References 27 publications

(45 reference statements)

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“…This is in contrast to the fast thermalization rates that are usually observed, unless conservation laws inhibit thermalization, and that are not controlled by E but by the coupling energies of the Hamiltonian (see, e.g., Figure 16 and Ref. [19]). Condition (ii) also restricts the type of initial states to which ETH thermalization can apply to those with a narrow energy spectrum E .…”

Section: Introductionmentioning

confidence: 81%

“…We suggest the quasiparticle damping mechanism to play a crucial role in such a behaviour. Below we present a formalism [17][18][19] which, when applied to specific systems, will shed light on this issue and other problems related to thermalization of isolated closed systems.…”

Section: Hamiltonianmentioning

confidence: 99%

“…Most importantly, it is even valid in cases where either the bath or the subsystem Hilbert space is initially not populated, i.e., the bath is dynamically generated by the total system's time evolution, possibly involving multiple time scales. [17][18][19] We thus term this thermalization dynamics "dynamical bath generation" (DBG). The DBG mechanism can be understood also as a setup where the subsystem-bath coupling evolves in time.…”

Section: Introductionmentioning

confidence: 99%

“…[17,18] During a time interval τ c < t < τ f the condensate (BEC) and the quasiparticle (QP) subsystems are strongly coupled via a dynamically generated, parametric resonance, indicated by the BEC and the QP spectra being strongly correlated with each other. [19] In this regime incoherent excitations are thus created out of the condensate in an avalanche-like manner. However, at a freeze-out time τ f the BEC dynamics effectively decouple from the QP subsystem by virtue of total energy conservation, and the BEC and the QP spectra become uncorrelated.…”

Section: Introductionmentioning

confidence: 99%

“…For t > τ f slow, exponential relaxation to thermal equilibrium with a relaxation time τ th occurs due to weak coupling of the QP subsystem to the BEC as a grand canonical reservoir, and vice-versa. [19] The article is structured as follows. In section 2 we review in some detail the ETH and discuss its restrictive assumptions and resulting limitations.…”

Section: Introductionmentioning

confidence: 99%

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Thermalization of Isolated Bose‐Einstein Condensates by Dynamical Heat Bath Generation

2017

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If and how an isolated quantum system thermalizes despite its unitary time evolution is a long-standing, open problem of many-body physics. The eigenstate thermalization hypothesis (ETH) postulates that thermalization happens at the level of individual eigenstates of a system's Hamiltonian. However, the ETH requires stringent conditions to be validated, and it does not address how the thermal state is reached dynamically from an initial non-equilibrium state. We consider a Bose-Einstein condensate (BEC) trapped in a double-well potential with an initial population imbalance. We find that the system thermalizes although the initial conditions violate the ETH requirements. We identify three dynamical regimes. After an initial regime of undamped Josephson oscillations, the subsystem of incoherent excitations or quasiparticles (QP) becomes strongly coupled to the BEC subsystem by means of a dynamically generated, parametric resonance. When the energy stored in the QP system reaches its maximum, the number of QPs becomes effectively constant, and the system enters a quasi-hydrodynamic regime where the two subsystems are weakly coupled. In this final regime the BEC acts as a grand-canonical heat reservoir for the QP system (and vice versa), resulting in thermalization. We term this mechanism dynamical bath generation (DBG).

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Section: Introductionmentioning

confidence: 81%

Section: Hamiltonianmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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Thermalization of Isolated Bose‐Einstein Condensates by Dynamical Heat Bath Generation

2017

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Temporal Bistability in the Dissipative Dicke‐Bose‐Hubbard System

Wu,

Ray,

Kroha

2024

Annalen der Physik

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A driven‐dissipative system is considered, consisting of an atomic Bose‐Einstein condensates loaded into a 2D Hubbard lattice and coupled to a single mode of an optical cavity. Due to the interplay between strong, repulsive atomic interaction and the atom‐cavity coupling, the system exhibits several phases of atoms and photons including the atomic superfluid (SF) and supersolid (SS). The dynamical behavior of the system, where dissipation is included by means of Lindblad master equation formalism. Due to the discontinuous nature of the Dicke transition for strong atomic repulsion, extended co‐existence region of different phases are found. The resulting switching dynamics are investigated, particularly between the coexisting SF and SS phases, which eventually becomes damped by the dissipation.

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Parametric oscillations in a dissipative bosonic Josephson junction

Saha

Ray

Deb

2020

J. Phys. B: At. Mol. Opt. Phys.

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We study the dynamics of a nonlinear dissipative bosonic Josephson junction (BJJ) with a time-dependent sinusoidal perturbation in interaction term. We demonstrate parametric resonance where the system undergoes sustained periodic oscillations even in the presence of dissipation. This happens when the frequency of the perturbation is close to twice the frequency of the unperturbed Josephson oscillations and the strength of perturbation exceeds a critical threshold. We have formulated the threshold conditions for parametric oscillations. To explore the nature of the oscillations, we carry out a multiple time scale analysis of the stability boundaries in terms of the V-shaped Arnold's tongue in the parameter space. Full numerical simulations have been performed for the zero-, running-and π-phase modes of nonlinear Josephson effect. Our results demonstrate that in π-phase mode, the system is capable of making a transition from regular parametric to chaotic parametric oscillations as one crosses the stability boundary. Also, the phase difference undergoes phase slip before executing sustained parametric oscillations. PACS numbers: 74.50.+r,67.85.Hj,95.10.Fh,52.35.Mw

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Inflationary Quasiparticle Creation and Thermalization Dynamics in Coupled Bose-Einstein Condensates

Cited by 18 publications

References 27 publications

Thermalization of Isolated Bose‐Einstein Condensates by Dynamical Heat Bath Generation

Thermalization of Isolated Bose‐Einstein Condensates by Dynamical Heat Bath Generation

Temporal Bistability in the Dissipative Dicke‐Bose‐Hubbard System

Parametric oscillations in a dissipative bosonic Josephson junction

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