Mobile impurities interacting with a few one-dimensional lattice bosons

Yordanov, Vasil Radkov; Isaule, Felipe

doi:10.1088/1361-6455/acb51b

Cited by 6 publications

(4 citation statements)

References 93 publications

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“…The magnitude of this induced attraction, in general, increases for larger impurity-medium coupling strength and specifically for sufficiently strong attractive ones the impurities assemble in a bound state that can be a bipolaron [32,43,45,[47][48][49] or a trimeron [50]. Notice that besides the above-discussed studies in a homogeneous BEC environment, the attractive nature of induced interactions has been unveiled also for a harmonically confined [42,51,52] or a lattice trapped [53] medium. Moreover, in the context of open quantum systems where, e.g., two non-interacting particles are coupled to a heat bath, a mediated induced entanglement between the particles has been predicted and its interplay with the inherent decoherence effects has been analyzed for instance in terms of the interatomic distance and temperature [54][55][56][57][58][59][60][61][62].…”

Section: Introductionmentioning

confidence: 95%

Crossover from attractive to repulsive induced interactions and bound states of two distinguishable Bose polarons

Theel,

Mistakidis,

Schmelcher

2024

SciPost Phys.

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We study the impact of induced correlations and quasiparticle properties by immersing two distinguishable impurities in a harmonically trapped bosonic medium. It is found that when the impurities couple both either repulsively or attractively to their host, the latter mediates a two-body correlated behavior between them. In the reverse case, namely the impurities interact oppositely with the host, they feature anti-bunching. Monitoring the impurities relative distance and constructing an effective two-body model to be compared with the full many-body calculations, we are able to associate the induced (anti-) correlated behavior of the impurities with the presence of attractive (repulsive) induced interactions. Furthermore, we capture the formation of a bipolaron and a trimer state in the strongly attractive regime. The trimer refers to the correlated behavior of two impurities and a representative atom of the bosonic medium and it is characterized by an ellipsoidal shape of the three-body correlation function. Our results open the way for controlling polaron induced correlations and creating relevant bound states.

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Section: Introductionmentioning

confidence: 95%

Crossover from attractive to repulsive induced interactions and bound states of two distinguishable Bose polarons

Theel,

Mistakidis,

Schmelcher

2024

SciPost Phys.

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“…The magnitude of this induced attraction, in general, increases for larger impuritymedium coupling strength and specifically for sufficiently strong attractive ones the impurities assemble in a bound state that can be a bipolaron [32,[39][40][41][42][43] or a trimeron [44]. Notice that besides the above-discussed studies in a homogeneous BEC environment, the attractive nature of induced interactions has been unveiled also for a harmonically confined [45][46][47] or a lattice trapped [48] medium.…”

Section: Introductionmentioning

confidence: 95%

Crossover from attractive to repulsive induced interactions and bound states of two distinguishable Bose polarons

Theel¹,

Mistakidis²,

Schmelcher³

2023

Preprint

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We study the impact of induced correlations and quasiparticle properties by immersing two distinguishable impurities in a harmonically trapped bosonic medium. It is found that when the impurities couple both either repulsively or attractively to their host, the latter mediates a two-body correlated behavior between them. In the reverse case, namely the impurities interact oppositely with the host, they feature anti-bunching. Monitoring the impurities relative distance and constructing an effective two-body model to be compared with the full many-body calculations, we are able to associate the induced (anti-) correlated behavior of the impurities with the presence of attractive (repulsive) induced interactions. Furthermore, we capture the formation of a bipolaron and trimer state in the strongly attractive regime, where the latter consists of two impurities and a medium atom. Our results open the way for controlling polaron induced correlations and creating relevant bound states.

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“…In this direction, one-dimensional gases [19,20] offer a unique platform to study impurities [21][22][23][24][25][26][27][28][29]. Fluctuations are enhanced in one-dimension, increasing the importance of impurity-bath correlations.…”

Section: Introductionmentioning

confidence: 99%

Few particles with an impurity in a one-dimensional harmonic trap

Rojo-Francàs,

Isaule,

Juliá-Díaz

2024

Phys. Scr.

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We present a comprehensive study of the static properties of a mobile impurity interacting with a bath with a few particles trapped in a one-dimensional harmonic trap. We consider baths with either identical bosons or distinguishable particles and we focus on the limiting case where the bath is non-interacting. We provide numerical results for the energy spectra and density profiles by means of the exact diagonalization of the Hamiltonian, and find that these systems show non-trivial solutions, even in the limit of infinite repulsion. A detailed physical interpretation is provided for the lowest energy states. In particular, we find a seemingly universal transition from the impurity being localized in the center of the trap to being expelled outside the majority cloud. We also develop an analytical ansatz and a mean-field solution to compare them with our numerical results in limiting configurations.

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Mobile impurities interacting with a few one-dimensional lattice bosons

Cited by 6 publications

References 93 publications

Crossover from attractive to repulsive induced interactions and bound states of two distinguishable Bose polarons

Crossover from attractive to repulsive induced interactions and bound states of two distinguishable Bose polarons

Crossover from attractive to repulsive induced interactions and bound states of two distinguishable Bose polarons

Few particles with an impurity in a one-dimensional harmonic trap

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