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We study the effects of interparticle interactions and power-law tunneling couplings on quantum walks executed by both a single one and a pair of hard-core bosons moving in clean and disordered one-dimensional lattices. For this purpose, we…

Quantum Gases · Physics 2021-09-15 G. A. Domínguez-Castro , R. Paredes

Full control over the dynamics of interacting, indistinguishable quantum particles is an important prerequisite for the experimental study of strongly correlated quantum matter and the implementation of high-fidelity quantum information…

It has become widely accepted that particles with long-range hopping do not undergo Anderson localization. However, several recent studies demonstrated localization of particles with long-range hopping. In particular, it was recently shown…

Quantum Physics · Physics 2018-08-01 Joshua T. Cantin , Tianrui Xu , Roman V. Krems

We numerically investigate the dynamics of entanglement in a chain of spinless fermions with nonrandom but long-range hopping and interactions, and with random on-site energies. For moderate disorder in the absence of interactions, the…

Disordered Systems and Neural Networks · Physics 2017-03-29 Rajeev Singh , Roderich Moessner , Dibyendu Roy

We investigate the two-component quantum walk in one-dimensional lattice. We show that the inter-component interaction strength together with the hopping imbalance between the components exhibit distinct features in the quantum walk for…

Quantum Gases · Physics 2021-11-15 Mrinal Kanti Giri , Suman Mondal , Bhanu Pratap Das , Tapan Mishra

We address memory effects and diffusive properties of a continuous-time quantum walk on a one-dimensional percolation lattice affected by spatially correlated random telegraph noise. In particular, by introducing spatially correlated…

We consider the dynamics of rotational excitations placed on a single molecule in spatially disordered 1D, 2D and 3D ensembles of ultracold molecules trapped in optical lattices. The disorder arises from incomplete populations of optical…

Quantum Gases · Physics 2015-07-14 Tianrui Xu , Roman V. Krems

We study the effect of interactions on the bosonic two-particle quantum walk and its corresponding spatial correlations. The combined effect of interactions and Hanbury-Brown Twiss interference results in unique spatial correlations which…

Quantum Physics · Physics 2018-07-03 Yoav Lahini , Mor Verbin , Sebastian D. Huber , Yaron Bromberg , Rami Pugatch , Yaron Silberberg

We analyze the effect of the long-range interaction on the transport properties through ordered and disordered one-dimensional metallic nanoparticle arrays. We discuss how the threshold voltage, the I-V curves and the voltage drop through…

Mesoscale and Nanoscale Physics · Physics 2007-09-25 E. Bascones , J. A. Trinidad , V. Estevez , A. H. MacDonald

Many-body localization in an $XY$ model with a long-range interaction is investigated. We show that in the regime of a high strength of disordering compared to the interaction an off-resonant flip-flop spin-spin interaction (hopping)…

Disordered Systems and Neural Networks · Physics 2015-11-17 Alexander L. Burin

We consider two identical bosons propagating on a one-dimensional lattice and address the prob- lem of discriminating whether their mutual on-site interaction is attractive or repulsive. We suggest a probing scheme based on the properties…

Quantum Physics · Physics 2018-01-17 Andrea Beggi , Luca Razzoli , Paolo Bordone , Matteo G. A. Paris

We study a discrete Schr\"odinger equation with arbitrary long range hopping terms under the influence of an external force. The impact of long range hoppings on the single particle Bloch dynamics in the lattice is investigated. A closed…

Quantum Gases · Physics 2015-02-10 J. Stockhofe , P. Schmelcher

Reentrant localization has recently been observed in systems with quasi-periodic nearest-neighbor hopping, where the interplay between dimerized hopping and staggered disorder is identified as the driving mechanism. However, the robustness…

Disordered Systems and Neural Networks · Physics 2024-12-19 Pei-Jie Chang , Qi-Bo Zeng , Jinghui Pi , Dong Ruan , Gui-Lu Long

We study the continuous time quantum walk of a single particle (initially localized at a single site) on a one-dimensional spatial lattice with complex nearest neighbour and next-nearest neighbour hopping amplitudes. Complex couplings lead…

Quantum Physics · Physics 2021-02-11 Hemlata Bhandari , P. Durganandini

Long-range hoppings in quantum disordered systems are known to yield quantum multifractality, whose features can go beyond the characteristic properties associated with an Anderson transition. Indeed, critical dynamics of long-range quantum…

Disordered Systems and Neural Networks · Physics 2023-12-27 Weitao Chen , Gabriel Lemarie , Jiangbin Gong

Computer simulation of the hopping charge transport in disordered organic materials has been carried out explicitly taking into account charge-charge interactions. This approach provides a possibility to take into account dynamic…

Disordered Systems and Neural Networks · Physics 2015-05-13 Sergey V. Novikov

We investigate a paradigmatic model for quantum transport with both nearest-neighbor and infinite range hopping coupling (independent of the position). Due to long range homogeneous hopping, a gap between the ground state and the excited…

Mesoscale and Nanoscale Physics · Physics 2016-10-19 G. L. Celardo , R. Kaiser , F. Borgonovi

We investigate the effects of an extended Bose-Hubbard model with a long range hopping term on the Mott insulator-superfluid quantum phase transition. We consider the effects of a power law decaying hopping term and show that the Mott phase…

Quantum Gases · Physics 2019-01-24 M. Ferraretto , L. Salasnich

We present a study of the effects of decoherence in the operation of a discrete quantum walk on a line, cycle and hypercube. We find high sensitivity to decoherence, increasing with the number of steps in the walk, as the particle is…

Quantum Physics · Physics 2009-11-07 Viv Kendon , Ben Tregenna

We study the influence of particle interaction on a quantum walk on a bipartite one-dimensional lattice with decay from every second site. The corresponding non-interacting (linear) system has been shown to have a topological transition…

Quantum Physics · Physics 2012-09-04 K. Rapedius , H. J. Korsch
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