Dynamics of the double-well Bose–Einstein condensate coupled to a dual Markovian reservoirs system

Rajagopal, Kalai Kumar; Muniandy, S. V.

doi:10.1016/j.physa.2015.08.018

Cited by 7 publications

(6 citation statements)

References 20 publications

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“…Following early theoretical considerations [50], the quantum Zeno effect was observed in experiments with cold ions [51] and ultracold atoms [52][53][54][55]. In the context of ultracold atoms, the interplay of interactions and dissipation has received a lot of attention [42,[56][57][58][59][60][61][62]. Applying this principle to our system we first note that only the dissipative sites (in this case only the ones at the left boundary x = 0) are being "measured", which means that only the reduced density operators on these sites become time-independent in the limit of frequent measurements, i.e.…”

Section: B Source-drain Setupmentioning

confidence: 99%

Photonic currents in driven and dissipative resonator lattices

et al. 2016

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Arrays of coupled photonic cavities driven by external lasers represent a highly controllable setup to explore photonic transport. In this paper we address (quasi)-steady states of this system that exhibit photonic currents introduced by engineering driving and dissipation. We investigate two approaches: in the first one, photonic currents arise as a consequence of a phase difference of applied lasers and in the second one, photons are injected locally and currents develop as they redistribute over the lattice. Effects of interactions are taken into account within a mean-field framework. In the first approach, we find that the current exhibits a resonant behavior with respect to the driving frequency. Weak interactions shift the resonant frequency toward higher values, while in the strongly interacting regime in our mean-field treatment the effect stems from multiphotonic resonances of a single driven cavity. For the second approach, we show that the overall lattice current can be controlled by incorporating few cavities with stronger dissipation rates into the system. These cavities serve as sinks for photonic currents and their effect is maximal at the onset of quantum Zeno dynamics.

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Section: B Source-drain Setupmentioning

confidence: 99%

Photonic currents in driven and dissipative resonator lattices

et al. 2016

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“…(5)(6)(7)(8)(9)(10)(11)(12). For example, Rajagopal and Muniandy (13) focused on the dynamic processes of atomic condensate to couple with the distinct dual reservoirs. Guo and Li (14) describes symmetry and topology in a fractional non-linear Schrodinger system by applying a wave function.…”

Section: Introduction Backgroundmentioning

confidence: 99%

A Novel Prediction Model for Brain Glioma Image Segmentation Based on the Theory of Bose-Einstein Condensate

Zhang

Chen

et al. 2022

Front. Med.

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BackgroundThe input image of a blurry glioma image segmentation is, usually, very unclear. It is difficult to obtain the accurate contour line of image segmentation. The main challenge facing the researchers is to correctly determine the area where the points on the contour line belong to the glioma image. This article highlights the mechanism of formation of glioma and provides an image segmentation prediction model to assist in the accurate division of glioma contour points. The proposed prediction model of segmentation associated with the process of the formation of glioma is innovative and challenging. Bose-Einstein Condensate (BEC) is a microscopic quantum phenomenon in which atoms condense to the ground state of energy as the temperature approaches absolute zero. In this article, we propose a BEC kernel function and a novel prediction model based on the BEC kernel to detect the relationship between the process of the BEC and the formation of a brain glioma. Furthermore, the theoretical derivation and proof of the prediction model are given from micro to macro through quantum mechanics, wave, oscillation of glioma, and statistical distribution of laws. The prediction model is a distinct segmentation model that is guided by BEC theory for blurry glioma image segmentation.ResultsOur approach is based on five tests. The first three tests aimed at confirming the measuring range of T and μ in the BEC kernel. The results are extended from −10 to 10, approximating the standard range to T ≤ 0, and μ from 0 to 6.7. Tests 4 and 5 are comparison tests. The comparison in Test 4 was based on various established cluster methods. The results show that our prediction model in image evaluation parameters of P, R, and F is the best amongst all the existent ten forms except for only one reference with the mean value of F that is between 0.88 and 0.93, while our approach returns between 0.85 and 0.99. Test 5 aimed to further compare our results, especially with CNN (Convolutional Neural Networks) methods, by challenging Brain Tumor Segmentation (BraTS) and clinic patient datasets. Our results were also better than all reference tests. In addition, the proposed prediction model with the BEC kernel is feasible and has a comparative validity in glioma image segmentation.ConclusionsTheoretical derivation and experimental verification show that the prediction model based on the BEC kernel can solve the problem of accurate segmentation of blurry glioma images. It demonstrates that the BEC kernel is a more feasible, valid, and accurate approach than a lot of the recent year segmentation methods. It is also an advanced and innovative model of prediction deducing from micro BEC theory to macro glioma image segmentation.

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“…More recently, a quantum collapse caused by an exponential growth of the quantum phase dispersion is expected for large atomic imbalance between the two wells [25]. In the case of an open system, the interaction with a thermal bath is proposed in [26][27][28]. A damping can also be attributable to phase noise and particle dissipation [29][30][31].…”

Section: Introductionmentioning

confidence: 99%

Analytical pendulum model for a bosonic Josephson junction

Pigneur

Schmiedmayer

2018

Phys. Rev. A

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We present an analytical description of the tunneling dynamics between two coupled Bose-Einstein condensates in the Josephson regime. The model relies on the classical analogy with a rigid pendulum and focuses on two dynamical modes of this system: Josephson oscillations and Macroscopic Quantum Self-Trapping. The analogy is extended to include an energy difference between the two superfluids caused by an asymmetry in the trapping potential. The model is compatible with the mean-field predictions of the two-mode Bose-Hubbard model. It gives new insights on the mean-field model by involving experimentally measurable parameters with reduced correlations. For agreement with recent experimental observations, we establish heuristic formulas including a dissipation. We conclude with a convincing application of the model to several sets of experimental results.

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Dynamics of the double-well Bose–Einstein condensate coupled to a dual Markovian reservoirs system

Cited by 7 publications

References 20 publications

Photonic currents in driven and dissipative resonator lattices

Photonic currents in driven and dissipative resonator lattices

A Novel Prediction Model for Brain Glioma Image Segmentation Based on the Theory of Bose-Einstein Condensate

Analytical pendulum model for a bosonic Josephson junction

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