Mass-imbalanced ionic Hubbard chain

Sekania, Michael; Baeriswyl, D.; Jibuti, Luka; Japaridze, G. I.

doi:10.1103/physrevb.96.035116

Cited by 12 publications

(8 citation statements)

References 96 publications

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“…Depending on the mass ratio of the two atomic components [21][22][23][24][25], these trimers can be understood to consist either of a single light atom binding two heavier atoms together by mediating an effective attractive long-range interaction between the heavy atoms [19,[26][27][28], or, in the opposite mass-ratio limit, a single heavy atom providing a pinning potential for two light atoms. We provide a general method for determining the trimer gap, and we consider also the use of two-particle correlators for determining the stability of trimers.…”

Section: Introductionmentioning

confidence: 99%

Fast trimers in a one-dimensional extended Fermi-Hubbard model

2018

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We consider a one-dimensional two-component extended Fermi-Hubbard model with nearest-neighbor interactions and mass imbalance between the two species. We study the binding energy of trimers, various observables for detecting them, and expansion dynamics. We generalize the definition of the trimer gap to include the formation of different types of clusters originating from nearest-neighbor interactions. Expansion dynamics reveal rapidly propagating trimers, with speeds exceeding doublon propagation in the strongly interacting regime. We present a simple model for understanding this unique feature of the movement of the trimers, and we discuss the potential for experimental realization.

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Section: Introductionmentioning

confidence: 99%

Fast trimers in a one-dimensional extended Fermi-Hubbard model

2018

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“…The time-dependent mass-imbalanced single-band Hubbard model at half-filling is given by, [34][35][36][37][38]…”

Section: Model and Methodsmentioning

confidence: 99%

Dynamical recovery of SU(2) symmetry in the mass-quenched Hubbard model

Fiete

2018

Phys. Rev. B

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We use non-equilibrium dynamical mean-field theory with iterative perturbation theory as an impurity solver to study the recovery of SU (2) symmetry in real-time following a hopping integral parameter quench from a mass-imbalanced to a mass-balanced single-band Hubbard model at half-filling. A dynamical order parameter γ(t) is defined to characterize the evolution of the system towards SU (2) symmetry. By comparing the momentum dependent occupation from an equilibrium calculation (with the SU (2) symmetric Hamiltonian after the quench at an effective temperature) with the data from our non-equilibrium calculation, we conclude that the SU (2) symmetry recovered state is a thermalized state. Further evidence from the evolution of the density of states supports this conclusion. At the same time, we find the order parameter in the weak Coulomb interaction regime undergoes an approximate exponential decay. We numerically investigate the interplay of the relevant parameters (initial temperature, Coulomb interaction strength, initial mass-imbalance ratio) and their combined effect on the thermalization behavior. Finally, we study evolution of the order parameter as the hopping parameter is changed with either a linear ramp or a pulse. Our results can be useful in strategies to engineer the relaxation behavior of interacting, quantum many-particle systems.

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“…The time-dependent mass-imbalanced single-band Hubbard model at half-filling is given by [29][30][31] ,…”

Section: Model and Methodsmentioning

confidence: 99%

“…Away from half filling, the dynamical phase transition between these two regimes turns into a crossover. 27 In this work, we study the thermalization behavior in the mass imbalanced Hubbard model [28][29][30][31] after a Coulomb interaction quench. Here, the mass imbalance implies the hopping amplitude of spin-↑ (V ↑ ) and spin-↓ (V ↓ ) electrons in the Hubbard model are different.…”

Section: Introductionmentioning

confidence: 99%

Spin-selective thermalization plateau in the mass-imbalanced Hubbard model

Fiete

2017

Phys. Rev. B

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We use time-dependent non-equilibrium dynamical mean-field theory with weak-coupling auxiliary-field continuous time quantum Monte Carlo as an impurity solver to study the thermalization behavior of the massimbalanced single-band Hubbard model after a quench of the Coulomb interaction from the non-interacting limit to a finite positive value. When the Coulomb interaction in our model is increased under equilibrium conditions, the quasi-particle weight for spin-up and spin-down (the mass imbalance) electrons approach zero simultaneously, indicating the absence of a spin-selective Mott transition. By contrast, our out-of-equilibrium study of the mass-imbalanced Hubbard model suggests that there exists the spin-selective dynamical phase transition (one spin orientation undergoes a fast thermalization at its critical Coulomb interaction strength while the other spin orientation shows prethermalization behavior). The spin-selective dynamical phase transition is characterized by the relaxation behavior of the spin-resolved kinetic energy and the spin-resolved momentumdependent occupation. To make connection with possible experiments, we calculate the spin-resolved two-time optical conductivity, which confirms the spin-selective thermalization plateau. We find the critical Coulomb interaction of each spin orientation for the spin-selective thermalization grows as the mass imbalance decreases.

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Mass-imbalanced ionic Hubbard chain

Cited by 12 publications

References 96 publications

Fast trimers in a one-dimensional extended Fermi-Hubbard model

Fast trimers in a one-dimensional extended Fermi-Hubbard model

Dynamical recovery of SU(2) symmetry in the mass-quenched Hubbard model

Spin-selective thermalization plateau in the mass-imbalanced Hubbard model

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