Self-Localization of Bose-Einstein Condensates in Optical Lattices via Boundary Dissipation

Livi, Roberto; Franzosi, Roberto; Oppo, Gian-Luca

doi:10.1103/physrevlett.97.060401

Cited by 140 publications

(145 citation statements)

References 26 publications

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“…Indeed, their ability to pump energy from neighboring sites is a distinctive signature of DB self-excitation [32], e.g. observed as a consequence of surface cooling [33][34][35][36] or due to modulational instability of band-edge waves in nonlinear lattices [37,38]. Furthermore, within the frame of a nonlinear network model, we have shown that highly energetic DBs can form easily in proteins [33], and that they feature strongly site-modulated properties [39].…”

Section: Introductionmentioning

confidence: 99%

Long-range energy transfer in proteins

Piazza

Sanejouand

2009

Phys. Biol.

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Proteins are large and complex molecular machines. In order to perform their function, most of them need energy, e.g. either in the form of a photon, as in the case of the visual pigment rhodopsin, or through the breaking of a chemical bond, as in the presence of adenosine triphosphate (ATP). Such energy, in turn, has to be transmitted to specific locations, often several tens ofÅ away from where it is initially released. Here we show, within the framework of a coarse-grained nonlinear network model, that energy in a protein can jump from site to site with high yields, covering in many instances remarkably large distances. Following single-site excitations, few specific sites are targeted, systematically within the stiffest regions. Such energy transfers mark the spontaneous formation of a localized mode of nonlinear origin at the destination site, which acts as an efficient energy-accumulating center. Interestingly, yields are found to be optimum for excitation energies in the range of biologically relevant ones.

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Section: Introductionmentioning

confidence: 99%

Long-range energy transfer in proteins

Piazza

Sanejouand

2009

Phys. Biol.

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“…For instance, we found that in the presence of the decay rate imbalance between the coupled disks, there exists an anomalous relaxation behavior similar to the one discussed in Ref. [27][28][29][30][31]. This result identifies the system of coupled optical resonators as a convenient platform for experimental study of this phenomenon, which so far, has eluded experimental observation.…”

Section: Discussionmentioning

confidence: 69%

“…and demonstrate anomalously slow relaxation dynamics [27] (due to boundary losses) similar to the one appeared in glass materials. This relaxation dynamics has generated recently a great deal of theoretical interest in the context of cold atoms [28][29][30][31] and coupled cavities [17,18]. At the same time, while self-trapping in systems with conserving number of particles or energy has been observed experimentally [24], it is still yet to be observed in in any physical realization of the DNLSE with losses.…”

Section: Introductionmentioning

confidence: 99%

Ab initiodescription of nonlinear dynamics of coupled microdisk resonators with application to self-trapping dynamics

Ramezani

Shuvayev

2011

Phys. Rev. A

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“…The discrete breathers which are observed experimentally in coupled antiferromagnetic layers [16][17][18] can also be considered as being excited in the relaxation processes. Inspired by these findings, boundary dissipation was also used in optic lattices to make the formation of the long-lived discrete breather and consequently leading to the localization of Bose-Einstein condensates [65][66][67][68][69][70] . It is numerically revealed that the initial average energy per site of the thermalized lattice must higher than a critical energy to excite the long-lived discrete breather in both one dimensional nonlinear lattices 51,52 and two dimensional nonlinear lattices 49,53,54 with boundary dissipation.…”

Section: Introductionmentioning

confidence: 99%

Energy thresholds of discrete breathers in thermal equilibrium and relaxation processes

Ling

et al. 2017

Chaos: An Interdisciplinary Journal of Nonlinear Science

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So far, only the energy thresholds of single discrete breathers in nonlinear Hamiltonian systems have been analytically obtained. In this work, the energy thresholds of discrete breathers in thermal equilibrium and the energy thresholds of long-lived discrete breathers which can remain after a long time relaxation are analytically estimated for nonlinear chains. These energy thresholds are size dependent. The energy thresholds of discrete breathers in thermal equilibrium are same as the previous analytical results for single discrete breathers. The energy thresholds of long-lived discrete breathers in relaxation processes are different from the previous results for single discrete breathers but agree well with the published numerical results known to us. Because real systems are either in thermal equilibrium or in relaxation processes, the obtained results could be important for experimental detection of discrete breathers. a) Electronic mail: meanyee@mail.ustc.edu.cn b) Electronic mail: zjding@ustc.edu.cn 1 Discrete breather is an intrinsic spatially localized nonlinear excitation which can be excited in any kind of discrete nonlinear systems. They can be excited both in thermal equilibrium and in relaxation processes. Once the long-lived discrete breathers are formed in the relaxation processes, the energy relaxations are very slow. The energy thresholds of discrete breathers in thermal equilibrium and relaxation processes can be only numerically estimated so far because of the strong interactions between breathers with other excitations, for instance, phonons. They are thus regarded as identical to the previous analytical energy thresholds of single discrete breathers in Hamiltonian systems. In this work, the energy thresholds of discrete breathers in thermal equilibrium and relaxation processes and thus of the slow energy relaxations are analytically estimated. The energy thresholds of discrete breathers in thermal equilibrium are same as the previous results for single discrete breathers. However, the energy thresholds of long-lived discrete breathers in relaxation processes are different from the previous results. Remarkably, they agree well with the published numerical results known to us. Real systems are either in thermal equilibrium or in relaxation processes. Therefore, the obtained energy thresholds, especially the size-dependence of them, are expected to be important for experimental detection of discrete breathers.

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Self-Localization of Bose-Einstein Condensates in Optical Lattices via Boundary Dissipation

Cited by 140 publications

References 26 publications

Long-range energy transfer in proteins

Long-range energy transfer in proteins

Ab initiodescription of nonlinear dynamics of coupled microdisk resonators with application to self-trapping dynamics

Energy thresholds of discrete breathers in thermal equilibrium and relaxation processes

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