Shortcut to adiabatic control of soliton matter waves by tunable interaction

Li, Jing; Sun, Kun; Chen, Xi

doi:10.1038/srep38258

Cited by 27 publications

(45 citation statements)

References 37 publications

(71 reference statements)

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“…Therefore we aim to employ a STA which will suppress these excitations and ensure the final state has a large overlap with the one that would have been created in a fully adiabatic process. Such a technique was recently developed in [25] and we briefly review it in this section.…”

Section: Shortcuts To Adiabaticity For Soliton Matter Wavesmentioning

confidence: 99%

“…Techniques such as quantum transitionless driving (or counter-diabatic driving), fastfoward algorithms, and inverse engineering have been shown to yield states with high fidelity in finite time, see the recent reviews [18,19]. While these approaches have often centered around non-interacting systems, STAs have also been explored in interacting, nonlinear, and other systems [20][21][22][23][24][25]. Remarkably, STAs have fundamental implications on quantum speed limits (QSL) [26][27][28][29][30], time-energy uncertainty relations (or energy cost) [31][32][33][34][35][36][37][38], and the quantification of the third law of thermodynamics in the context of quantum refrigerators [39,40], which results in intriguing practical applications in heat engines [41][42][43][44][45][46][47].…”

Section: Introductionmentioning

confidence: 99%

“…In section 2 we present the model and define the thermodynamic quantities used throughout. Section 3 briefly reviews the techniques used to design a STA for dynamically changing the scattering length for soliton matter waves (as devised in [25]) and in section 4 we examine the performance of the STA during a compression. The efficiency and power output of the quantum Otto cycle using the STA is analyzed in section 5 and in section 6 we present our conclusions.…”

Section: Introductionmentioning

confidence: 99%

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An efficient nonlinear Feshbach engine

Fogarty

Campbell

et al. 2018

New J. Phys.

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We investigate a thermodynamic cycle using a Bose-Einstein condensate (BEC) with nonlinear interactions as the working medium. Exploiting Feshbach resonances to change the interaction strength of the BEC allows us to produce work by expanding and compressing the gas. To ensure a large power output from this engine these strokes must be performed on a short timescale, however such non-adiabatic strokes can create irreversible work which degrades the engine's efficiency. To combat this, we design a shortcut to adiabaticity which can achieve an adiabatic-like evolution within a finite time, therefore significantly reducing the out-of-equilibrium excitations in the BEC. We investigate the effect of the shortcut to adiabaticity on the efficiency and power output of the engine and show that the tunable nonlinearity strength, modulated by Feshbach resonances, serves as a useful tool to enhance the system's performance.

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Section: Shortcuts To Adiabaticity For Soliton Matter Wavesmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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An efficient nonlinear Feshbach engine

Fogarty

Campbell

et al. 2018

New J. Phys.

Self Cite

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“…whereˆˆ † a a , i i are the creation and annihilation operators at site i, ω is the common resonant frequency of both modes, and U(t), J(t) are the strengths of the nonlinearity and coherent coupling, respectively, which are assumed to be controllable functions of time. Note that, although the coupling rate is a well-known control parameter, the nonlinearity can also be varied in time experimentally [56,57] and it has been exploited in the design of STAs [45,58,59]. As we shall latter explain, the desired transfer cannot be achieved with constant controls.…”

Section: Weakly Populated Bjjsmentioning

confidence: 99%

Maximizing entanglement in bosonic Josephson junctions using shortcuts to adiabaticity and optimal control

Stefanatos

Paspalakis

2018

New J. Phys.

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In this article we consider a bosonic Josephson junction, a model system composed by two coupled nonlinear quantum oscillators which can be implemented in various physical contexts, initially prepared in a product of weakly populated coherent states. We quantify the maximum achievable entanglement between the modes of the junction and then use shortcuts to adiabaticity, a method developed to speed up adiabatic quantum dynamics, as well as numerical optimization, to find timedependent controls (the nonlinearity and the coupling of the junction) which bring the system to a maximally entangled state.

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“…These techniques offer some opportunities to achieve a nonlinearity management through the use of time-dependent and/or nonuniform fields. Utilizing this nonlinearity management concept, several nonlinear wave patterns and effects, such as, non-autonomous bright solitons [13] as well as dark-bright solitons [14], Bloch oscillations [15], and rogue waves [16] have been observed in BECs.…”

Section: Introductionmentioning

confidence: 99%

Non-autonomous bright solitons and their stability in Rabi coupled binary Bose–Einstein condensates

Kanna¹,

Mareeswaran²,

Mertens

2017

J. Phys. Commun.

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The dynamics of non-autonomous bright matter-wave solitons in Rabi coupled binary Bose-Einstein condensates is explored. By performing a unitary and similarity/lens-type transformation, we reduce the non-autonomous Gross-Pitaevskii (GP) equation into the celebrated Manakov model. Then, we construct the exact bright solitons of the non-autonomous GP system in the presence of time dependent nonlinearities for two specific forms, namely hyperbolic nonlinearities, which are of physical interest. The experimental possibilities of realizing the forms of temporally modulated potentials corresponding to these time dependent nonlinearities and supporting such localized structures are explored. Our study on the propagation of one soliton shows that the amplitude, velocity and shape of the bright soliton are altered by the time-dependent scattering length. We also analyze the non-trivial energy sharing collision of Manakov solitons in the presence of Rabi coupling and aforementioned nonlinearities. We find that breathers arise in two-soliton collisions and the nature of energy sharing collisions is altered from that of Manakov system due to Rabi coupling only. Further in the presence of time-dependent nonlinearities the collision scenario is again altered significantly. Finally, the stability of these localized structures is examined using a recently developed powerful analytic method by Quintero etal (2015 Phys. Rev. E 91, 012905) and it is shown that the non-autonomous bright solitons are indeed stable. The evolution of position and velocity is also studied.

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Shortcut to adiabatic control of soliton matter waves by tunable interaction

Cited by 27 publications

References 37 publications

An efficient nonlinear Feshbach engine

An efficient nonlinear Feshbach engine

Maximizing entanglement in bosonic Josephson junctions using shortcuts to adiabaticity and optimal control

Non-autonomous bright solitons and their stability in Rabi coupled binary Bose–Einstein condensates

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