arXiv subjects

D. Yan

Publications and source records attributed to D. Yan.

25 records · Page 2Linked to original sources

arXiv2013

Going beyond the double well: complex mode dynamics of effective coupled oscillators in infinite dimensional systems

In this work we explore how nonlinear modes described by a dispersive wave equation (in our example, the nonlinear Schrodinger equation) and localized in a few wells of a periodic potential can act analogously to a chain of coupled mechanical oscillators. We identify the small-amplitude oscillation modes of these `coupled wave oscillators' and find that they can be extended into the large amplitude regime, where some can `ring' for long times. We also identify prototypical case examples of more complex dynamical behaviour that can arise in such systems beyond the double well paradigm, including the breakdown of Josephson-like oscillations and of internal modes more generally, the transfer of energy out of/destabilization of fundamental oscillation modes and the emergence of chaotic oscillations for large amplitude excitations. We provide details of the phase perturbations required for experimental observations of such dynamics, and show that the oscillator formalism can be extended to predict large amplitude excitations in genuinely two-dimensional configurations.

nlin.PS↗

arXiv2013

Matter-wave solitons in the counterflow of two immiscible superfluids

We study formation of solitons induced by counterflows of immiscible superfluids. Our setting is based on a quasi-one-dimensional binary Bose-Einstein condensate (BEC), composed of two immiscible components with large and small numbers of atoms in them. Assuming that the "small" component moves with constant velocity, either by itself, or being dragged by a moving trap, and intrudes into the "large" counterpart, the following results are obtained. Depending on the velocity, and on whether the small component moves in the absence or in the presence of the trap, two-component dark-bright solitons, scalar dark solitons, or multiple dark solitons may emerge, the latter outcome taking place due to breakdown of the superfluidity. We present two sets of analytical results to describe this phenomenology. In an intermediate velocity regime, where dark-bright solitons form, a reduction of the two-component Gross-Pitaevskii system to an integrable Mel'nikov system is developed, demonstrating that solitary waves of the former are very accurately described by analytically available solitons of the latter. In the high-velocity regime, where the breakdown of the superfluidity induces the formation of dark solitons and multi-soliton trains, an effective single-component description, in which a strongly localized wave packet of the "small" component acts as an effective potential for the "large" one, allows us to estimate the critical velocity beyond which the coherent structures emerge in good agreement with the numerical results.

cond-mat.quant-gas↗

arXiv2012

Beating dark-dark solitons in Bose-Einstein condensates

Motivated by recent experimental results, we study beating dark-dark solitons as a prototypical coherent structure that emerges in two-component Bose-Einstein condensates. We showcase their connection to dark- bright solitons via SO(2) rotation, and infer from it both their intrinsic beating frequency and their frequency of oscillation inside a parabolic trap. We identify them as exact periodic orbits in the Manakov limit of equal inter- and intra-species nonlinearity strengths with and without the trap and showcase the persistence of such states upon weak deviations from this limit. We also consider large deviations from the Manakov limit illustrating that this breathing state may be broken apart into dark-antidark soliton states. Finally, we consider the dynamics and interactions of two beating dark-dark solitons in the absence and in the presence of the trap, inferring their typically repulsive interaction.

cond-mat.quant-gas↗

arXiv2011

Dark-bright solitons in Bose-Einstein condensates at finite temperatures

We study the dynamics of dark-bright solitons in binary mixtures of Bose gases at finite temperature using a system of two coupled dissipative Gross-Pitaevskii equations. We develop a perturbation theory for the two-component system to derive an equation of motion for the soliton centers and identify different temperature-dependent damping regimes. We show that the effect of the bright ("filling") soliton component is to partially stabilize "bare" dark solitons against temperature-induced dissipation, thus providing longer lifetimes. We also study analytically thermal effects on dark-bright soliton "molecules" (i.e., two in- and out-of-phase dark-bright solitons), showing that they undergo expanding oscillations while interacting. Our analytical findings are in good agreement with results obtained via a Bogoliubov-de Gennes analysis and direct numerical simulations.

cond-mat.quant-gas↗

arXiv2011

Multiple dark-bright solitons in atomic Bose-Einstein condensates

We present experimental results and a systematic theoretical analysis of dark-br ight soliton interactions and multiple-dark-bright soliton complexes in atomic t wo-component Bose-Einstein condensates. We study analytically the interactions b etween two-dark-bright solitons in a homogeneous condensate and, then, extend ou r considerations to the presence of the trap. An effective equation of motion is derived for the dark-bright soliton center and the existence and stability of stationary two-dark-bright soliton states is illustrated (with the bright components being either in- or out-of-phase). The equation of motion provides the characteristic oscillation frequencies of the solitons, in good agreement with the eigenfrequencies of the anomalous modes of the system.

cond-mat.quant-gas↗

arXiv2010

Lithography-free Fabrication of High Quality Substrate-supported and Freestanding Graphene devices

We present a lithography-free technique for fabrication of clean, high quality graphene devices. This technique is based on evaporation through hard Si shadow masks, and eliminates contaminants introduced by lithographical processes. We demonstrate that devices fabricated by this technique have significantly higher mobility values than those by standard electron beam lithography. To obtain ultra-high mobility devices, we extend this technique to fabricate suspended graphene samples with mobility as high as 120,000 cm^2/Vs.

cond-mat.mes-hall↗

arXiv2008

Flicker Noise in Bilayer Graphene Transistors

We present the results of the experimental investigation of the low - frequency noise in bilayer graphene transistors. The back - gated devices were fabricated using the electron beam lithography and evaporation. The charge neutrality point for the fabricated transistors was around 10 V. The noise spectra at frequencies above 10 - 100 Hz were of the 1/f - type with the spectral density on the order of 10E-23 - 10E-22 A2/Hz at the frequency of 1 kHz. The deviation from the 1/f spectrum at the frequencies below 10 -100 Hz indicates that the noise is of the carrier - number fluctuation origin due to the carrier trapping by defects. The Hooge parameter of 10E-4 was extracted for this type of devices. The gate dependence of the noise spectral density suggests that the noise is dominated by the contributions from the ungated part of the device channel and by the contacts. The obtained results are important for graphene electronic applications.

cond-mat.mtrl-sci↗