Temporal non-equilibrium dynamics of a Bose–Josephson junction in presence of incoherent excitations

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

doi:10.1088/1367-2630/17/1/013006

Cited by 11 publications

(31 citation statements)

References 39 publications

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“…[18] It turns out that the rapid QP production sets in when one of the condensate levels (BEC level 2 in Figure 9) crosses or comes close to the first QP level ("QP level 1" in Figure 9). In the case of negligible QP generation ( Figure 8) the levels never cross, as seen in the inset of Figure 9.…”

Section: Results Within Bogoliubov-hartree-fock Approximationmentioning

confidence: 98%

“…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%

“…Note that at this stage we have already assumed that the position dependence of the Green functions is absorbed in the parameters (22) (for details see Ref. [18]). The general structure of the Dyson equations for these Green's functions is the following…”

Section: General Quantum Kinetic Equationsmentioning

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%

“…First, Josephson oscillations without damping can occur up to a time t = τ c after the quench. [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.…”

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: Results Within Bogoliubov-hartree-fock Approximationmentioning

confidence: 98%

Section: Hamiltonianmentioning

confidence: 99%

Section: General Quantum Kinetic Equationsmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

See 3 more Smart Citations

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

2017

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Forty years of theory-inspired experiments on charge-transfer via solutions and electrodes: the Georgian accents

Khoshtariya

Dolidze²,

Laliashvili

et al. 2023

J Solid State Electrochem

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The self-assembled, atomically defined, flexible and highly tunable bilayered Au/L-cysteine/Cu(II/I) junctions capable of voltage-gated coherent multiple electron/hole exchange

Khoshtariya¹,

Dolidze²,

Nioradze³

et al. 2021

Nano Futures

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Contemporary 2D spintronics (spin-based electronics) is a highly interdisciplinary field with numerous elaborated branches, mostly focusing on atomically thin, layered nano-junctions functionalized within ‘dry’ or ‘wet’ cells/cubicles/circuits. The charge carriers’ spin-implicated aspects emerge throughout, albeit the most nanotechnologically promising issue (implying the information and energy transfer/storage aspects) among them, is perhaps the uniquely complex yet robust and rather universal phenomenon of a hybrid inter- and intra-layer Bose–Einstein-like (BE) condensation. However, this issue is still not sufficiently explored, especially, in the framework of the ‘wet’ spintronic domain. Thus, searching for new types of bilayer junctions, and testing of charge/spin allocation and flow within respective nano-devices, is a primary task of current 2D spintronics. In this paper we report on the novel effort towards an extension of the voltage-gated ‘wet’ 2D spintronics enabled through the self-assembling of bilayered Au/L-cysteine/Cu(II/I) junctions, and their rigorous, yet preliminary current-voltage testing towards the hidden collective spin-related manifestations. Our experimental efforts led to a cascade of rare, uniquely combined observations encompassing the temperature induced, directly visible (irreversibly shape-shifting) single-stage transformation of a CV signal (the natural signature of a voltage-gated interlayer Faradaic process). The ultra-thin shape of the resulting CV signal (unavoidably emerging under certain ‘standard’ conditions), turned to be readily explainable by the Laviron’s general statistical formalism, as due to a multi-charge exchange process with the number of transferred electrons/holes ranging within 4 to 16 (per single elementary act) or even out of this range, being extra tunable via the experimental variables. Furthermore, cathodic and anodic peaks of the ‘new’ signal are moderately separated from each other and have nearly similar shapes. Additional experiments with a variation of the voltage scan rate, demonstrated the exceptional, very regular decaying of a number of simultaneously transferred electrons/holes (extracted from the peak-shape analysis) on the voltage scan rate; although the former parameters shows some fluctuational scatter in time, and/or from sample to sample. The subsequent multi-theory-based analysis of a whole scope of obtained voltammetric data, allowed for a preliminary conjecturing of the formation of a hybrid BE-like dipolar superfluid encompassing electron/hole-hosting clusters emerging within the bilayer junction. The specific electron/hole ratio within the layers is switchable (gated) by the interlayer potential (voltage) bias. The clusters’ dimensions, charge distribution and dynamic exchange are reasonably fluctuative and essentially tunable through the applied potential (i.e. the voltage-gating). New experiments are on their way, revealing unlimited future promises of our current endeavor.

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Temporal non-equilibrium dynamics of a Bose–Josephson junction in presence of incoherent excitations

Cited by 11 publications

References 39 publications

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

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

Forty years of theory-inspired experiments on charge-transfer via solutions and electrodes: the Georgian accents

The self-assembled, atomically defined, flexible and highly tunable bilayered Au/L-cysteine/Cu(II/I) junctions capable of voltage-gated coherent multiple electron/hole exchange

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