activity
19992026
most citedNon-standard Hubbard models in optical lattices: a review

409 citations · 2.1k across the 69 of their papers we have counts for

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8 papers · 1 filter

quant-ph2023★ 1 cited

On Repeated Measurements of a Quantum Particle in a Harmonic Potential

Filip Gampel, Mariusz Gajda

We study evolution of a quantum particle in a harmonic potential whose position and momentum are repeatedly monitored. A back-action of measuring devices is accounted for. Our mode…

quant-ph2022★ 10 cited

Continuous simultaneous measurement of position and momentum of a particle

Filip Gampel, Mariusz Gajda

We formulate a model of a quantum particle continuously monitored by detectors measuring simultaneously its position and momentum. We implement the postulate of wavefunction collap…

quant-ph2021★ 2 cited

Pauli crystals in harmonic trap and on a sphere

Filip Gampel, Mariusz Gajda, Magdalena Załuska-Kotur +1

Recently predicted and observed Pauli crystals are structures formed by trapped ultracold non-interacting particles obeying Fermi statistics. The relative positions of the particle…

quant-ph2021★ 5 cited

Atoms in a spin dependent optical potential: ground state topology and magnetization

Piotr Szulim, Marek Trippenbach, Y. B. Band +2

We investigate a Bose-Einstein condensate of Rb atoms in a 2D spin-dependent optical lattice generated by intersecting laser beams with a superposition of polarizatio…

quant-ph2012★ 1 cited

Quasicondensation reexamined

Przemyslaw Bienias, Krzysztof Pawlowski, Mariusz Gajda +1

We study in detail the effect of quasicondensation. We show that this effect is strictly related to dimensionality of the system. It is present in one dimensional systems independe…

quant-ph2011★ 20 cited

Statistical properties of one dimensional attractive Bose gas

Przemyslaw Bienias, Krzysztof Pawlowski, Mariusz Gajda +1

Using classical field approximation we present the first study of statistical properties of one dimensional Bose gas with attractive interaction. The canonical probability distribu…

quant-ph2010★ 20 cited

Statistical properties of one dimensional Bose gas

Przemyslaw Bienias, Krzysztof Pawlowski, Mariusz Gajda +1

Monte Carlo method within, so called, classical fields approximation is applied to one dimensional weakly interacting repulsive Bose gas trapped in a harmonic potential. Equilibriu…

quant-ph2010★ 33 cited

Exact dynamics and decoherence of two cold bosons in a 1D harmonic trap

Tomasz Sowinski, Miroslaw Brewczyk, Mariusz Gajda +1

We study dynamics of two interacting ultra cold Bose atoms in a harmonic oscillator potential in one spatial dimension. Making use of the exact solution of the eigenvalue problem o…