Phase Transitions for a Collective Coordinate Coupled to Luttinger Liquids

Horovitz, Baruch; Giamarchi, Thierry; Doussal, Pierre Le

doi:10.1103/physrevlett.111.115302

Cited by 5 publications

(9 citation statements)

References 45 publications

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“…The critical value of the Luttinger parameter K c cannot be understood from the lowest order renormalization-group equations [46] and a full explanation goes beyond the scope of this work. The KT phase transitions with non-universal K c have been observed in different contexts [58,59]. Within our accuracy, the dis- appearance of ρ s coincides with the onset of the CDW order (and the charge gap (shown in Fig.…”

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confidence: 66%

Identifying a Bath-Induced Bose Liquid in Interacting Spin-Boson Models

2014

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We study the ground state phase diagram of a one-dimensional hard-core bosonic model with nearest-neighbor interactions (XXZ model) where every site is coupled Ohmically to an independent but identical reservoir, hereby generalizing spin-boson models to interacting spin-boson systems. We show that a bath-induced Bose liquid phase can occur in the ground state phase diagram away from half filling. This phase is compressible, gapless, and conducting but not superfluid. At half filling, only a Luttinger liquid and a charge density wave are found. The phase transition between them is of Kosterlitz-Thouless type where the Luttinger parameter takes a nonuniversal value. The applied quantum Monte Carlo method can be used for all open bosonic and unfrustrated spin systems, regardless of their dimension, filling factor, and spectrum of the dissipation as long as the quantum system couples to the bath via the density operators.

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confidence: 66%

Identifying a Bath-Induced Bose Liquid in Interacting Spin-Boson Models

2014

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“…Combining numerical and analytical results [14] even showed that depending on the momentum of the particle a change in regime, from subdiffusive to polaronic, could occur. Extensions of these results to fermionic systems [15,16], driven particles [17,18] or particles coupled to several one dimensional systems [19] have since been performed.…”

Section: Introductionmentioning

confidence: 99%

Dynamics of a mobile impurity in a two-leg bosonic ladder

2019

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We have analyzed the behavior of a mobile quantum impurity in a bath formed by a two-leg bosonic ladder by a combination of field theory (Tomonaga-Luttinger liquid) and numerical (Density Matrix Renormalization Group) techniques. Computing the Green's function of the impurity as a function of time at different momenta, we find a power law decay at zero momentum, which signals the breakdown of any quasi-particle description of the impurity motion. We compute the exponent both for the limits of weak and strong impurity-bath interactions. At small impurity-bath interaction, we find that the impurity experiences the ladder as a single channel one-dimensional bath, but effective coupling is reduced by a factor of √ 2, thus the impurity is less mobile in the ladder compared to a one dimensional bath. We compared the numerical results for the exponent at zero momentum with a semi-analytical expression that was initially established for the chain and find excellent agreement without adjustable parameters. We analyze the dependence of the exponent in the transverse hopping in the bath and find surprisingly an increase of the exponent at variance with the naive extrapolation of the single channel regime. We study the momentum dependence of the impurity Green's function and find that, as for the single chain, two different regime of motion exist, one dominated by infrared metatrophy and a more conventional polaronic behavior. We compute the critical momentum between these two regimes and compare with prediction based on the structure factor of the bath. In the polaronic regime we also compute numerically the lifetime of the polaron. Finally we discuss how our results could be measured in cold atomic experiments.

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“…Giamarchi@unige.ch In particular, long-range interactions can lead to a periodic arrangement of the bath particles. New behaviors are possible in such systems, such as the localization of the impurity [26]. For a fermionic bath with nearestneighbor interactions in the Mott insulator (MI) state, a diffusive motion of the impurity was predicted to be connected to soliton excitations in the bath [27].…”

Section: Introductionmentioning

confidence: 99%

Impurity and soliton dynamics in a Fermi gas with nearest-neighbor interactions

2017

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We study spinless fermions with repulsive nearest-neighbor interactions perturbed by an impurity particle or a local potential quench. Using the numerical time-evolving block decimation method and a simplified analytic model, we show that the perturbations create a soliton-antisoliton pair. If solitons are already present in the bath, the two excitations have a drastically different dynamics: The antisoliton does not annihilate with the solitons and is therefore confined close to its origin while the soliton excitation propagates. We discuss the consequences for experiments with ultracold gases.

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Phase Transitions for a Collective Coordinate Coupled to Luttinger Liquids

Cited by 5 publications

References 45 publications

Identifying a Bath-Induced Bose Liquid in Interacting Spin-Boson Models

Identifying a Bath-Induced Bose Liquid in Interacting Spin-Boson Models

Dynamics of a mobile impurity in a two-leg bosonic ladder

Impurity and soliton dynamics in a Fermi gas with nearest-neighbor interactions

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