Entanglement of an impurity in a few-body one-dimensional ideal Bose system

García-March, Miguel Ángel; Dehkharghani, Amin; Zinner, N. T.

doi:10.1088/0953-4075/49/7/075303

Cited by 19 publications

(24 citation statements)

References 49 publications

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“…In the extreme case such systems consist of a single impurity immersed in a majority species. These setups have been studied theoretically [25][26][27][28][29][30][31][32] and experimentally [33][34][35][36], for a single impurity, serving as a simulator of polaron physics, as well as for many impurities [37][38][39][40][41][42] and are indeed a subject of ongoing research. While the ground state properties of a single impurity in a bath are to a certain extent well understood, less focus has been placed on the transport properties and the emergent collisions of the impurity through the bath [43][44][45][46].…”

Section: Introductionmentioning

confidence: 99%

Entanglement-assisted tunneling dynamics of impurities in a double well immersed in a bath of lattice trapped bosons

et al. 2020

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We unravel the correlated tunneling dynamics of an impurity trapped in a double well and interacting repulsively with a majority species of lattice trapped bosons. Upon quenching the tilt of the double well it is found that the quench-induced tunneling dynamics depends crucially on the interspecies interaction strength and the presence of entanglement inherent in the system. In particular, for weak couplings the impurity performs a rather irregular tunneling process in the double well. Increasing the interspecies coupling it is possible to control the response of the impurity which undergoes a delayed tunneling while the majority species effectively acts as a material barrier. For very strong interspecies interaction strengths the impurity exhibits a self-trapping behavior. We showcase that a similar tunneling dynamics takes place for two weakly interacting impurities and identify its underlying transport mechanisms in terms of pair and single-particle tunneling processes.

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Section: Introductionmentioning

confidence: 99%

Entanglement-assisted tunneling dynamics of impurities in a double well immersed in a bath of lattice trapped bosons

et al. 2020

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“…A specific case of bosonic mixtures is given by the immersion of a minority species, consisting of a few particles and typically called impurities, into a majority species of many particles. Such setups have been studied theoretically [20][21][22][23][24][25][26][27][28][29] and experimentally [30][31][32][33][34] for a single impurity, as simulator for polaron physics, as well as for many impurities [35][36][37][38]. Especially the latter case is of immediate interest since the bath, into which the impurities are immersed, mediates an effective attractive interaction between the impurities, leading to a clustering of these very particles [39][40][41].…”

Section: Introductionmentioning

confidence: 99%

State engineering of impurities in a lattice by coupling to a Bose gas

Keiler

Schmelcher

2018

New J. Phys.

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We investigate the localization pattern of interacting impurities, which are trapped in a lattice potential and couple to a Bose gas. For small interspecies interaction strengths, the impurities populate the energetically lowest Bloch state or localize separately in different wells with one extra particle being delocalized over all the wells, depending on the lattice depth. In contrast, for large interspecies interaction strengths we find that due to the fractional filling of the lattice and the competition of the repulsive contact interaction between the impurities and the attractive interaction mediated by the Bose gas, the impurities localize either pairwise or completely in a single well. Tuning the lattice depth, the interspecies and intraspecies interaction strength correspondingly allows for a systematic control and engineering of the two localization patterns. The sharpness of the crossover between the two states as well as the broad region of their existence supports the robustness of the engineering. Moreover, we are able to manipulate the ground state's degeneracy in the form of triplets, doublets and singlets by implementing different boundary conditions, such as periodic and hard wall boundary conditions. where ĉ † is the field operator of the lattice A bosons, m A their mass, V 0 the lattice depth, g AA the intraspecies interaction strength, k the number of wells in the lattice and L is the length of the system. The B species is described by the Hamiltonian of the Lieb-Liniger model [63-65] for periodic boundary conditions New J. Phys. 20 (2018) 103042 K Keiler and P Schmelcher

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“…One-dimensional (1D) systems are among the most widely studied problems in physics, especially due to their invaluable pedagogical properties and their more friendly manipulation of mathematical expressions both analytically and numerically, which often guide us through the understanding of interesting physical systems [1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22]. Furthermore, 1D structures such as nanotubes and nanowires, among others, may be highly relevant in technological applications [23].…”

Section: Introductionmentioning

confidence: 99%

Comparing numerical and analytical approaches to strongly interacting two-component mixtures in one dimensional traps

2017

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Abstract. Abstract is missing.e investigate one-dimensional harmonically trapped twocomponent systems for repulsive interaction strengths ranging from the non-interacting to the strongly interacting regime for Fermi-Fermi mixtures. A new and powerful mapping between the interaction strength parameters from a continuous Hamiltonian and a discrete lattice Hamiltonian is derived. As an example, we show that this mapping does not depend neither on the state of the system nor on the number of particles. Energies, density profiles and correlation functions are obtained both numerically (DMRG and Exact diagonalization) and analytically. Since DMRG results do not converge as the interaction strength is increased, analytical solutions are used as a benchmark to identify the point where these calculations become unstable. We use the proposed mapping to set a quantitative limit on the interaction parameter of a discrete lattice Hamiltonian above which DMRG gives unrealistic results.

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Entanglement of an impurity in a few-body one-dimensional ideal Bose system

Cited by 19 publications

References 49 publications

Entanglement-assisted tunneling dynamics of impurities in a double well immersed in a bath of lattice trapped bosons

Entanglement-assisted tunneling dynamics of impurities in a double well immersed in a bath of lattice trapped bosons

State engineering of impurities in a lattice by coupling to a Bose gas

Comparing numerical and analytical approaches to strongly interacting two-component mixtures in one dimensional traps

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