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30 papers
A canonical approach to quantum fluctuations
Joanna Ruhl, Vanja Dunjko, Maxim Olshanii
We present a canonical formalism for computing quantum fluctuations of certain discrete degrees of freedom in systems governed by integrable partial differential equations with kno…
Finding ground states of a square Newman-Moore lattice with sides equal to a Mersenne number using the Rule 60 cellular automaton
Jonás Carmona-Pírez, Adrian J. Peguero, Vanja Dunjko +2
We offer detailed proofs of some properties of the Rule 60 cellular automaton on a ring with a Mersenne number circumference. We then use these properties to define a propagator, a…
Massive particle interferometry with lattice solitons
Piero Naldesi, Juan Polo, Peter D. Drummond +4
We discuss an interferometric scheme employing interference of bright solitons formed as specific bound states of attracting bosons on a lattice. We revisit the proposal of Castin…
Massive particle interferometry with lattice solitons: robustness against ionization
Piero Naldesi, Peter D. Drummond, Vanja Dunjko +2
We revisit the proposal of Castin and Weiss [Phys. Rev. Lett. vol. 102, 010403 (2009)] for using the scattering of a quantum matter-wave soliton on a barrier in order to create a c…
Path Integral Estimates of the Quantum Fluctuations of the Relative Soliton-Soliton Velocity in a Gross-Pitevskii Breather
Sumita Datta, Vanja Dunjko, Maxim Olshanii
In this paper, the quantum fluctuations of the relative velocity of constituent solitons in a Gross-Pitaevskii breather are studied. The breather is confined in a weak harmonic tra…
The origin of the period- quasi-breathing in disk-shaped Gross-Pitaevskii breathers
J. Torrents, V. Dunjko, M. Gonchenko +2
We address the origins of the quasi-periodic breathing observed in [Phys. Rev.\ X vol. 9, 021035 (2019)] in disk-shaped harmonically trapped two-dimensional Bose condensates, where…