Dynamical localization in a chain of hard core bosons under periodic driving

Nag, Tanay; Roy, Sthitadhi; Dutta, Amit; Sen, Diptiman

doi:10.1103/physrevb.89.165425

Cited by 77 publications

(69 citation statements)

References 45 publications

(33 reference statements)

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“…The operatorĴ ν can be formally obtained taking the derivative with respect to θ in the Hamiltonian with the Peierls phase factors and considering the limit θ → 0 (see, e.g., Ref. [170]). Eq.…”

Section: Superfluiditymentioning

confidence: 99%

Ultracold bosons with short-range interaction in regular optical lattices

2016

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During the last decade, many exciting phenomena have been experimentally observed and theoretically predicted for ultracold atoms in optical lattices. This paper reviews these rapid developments concentrating mainly on the theory. Different types of the bosonic systems in homogeneous lattices of different dimensions as well as in the presence of harmonic traps are considered. An overview of the theoretical methods used for these investigations as well as of the obtained results is given. Available experimental techniques are presented and discussed in connection with theoretical considerations. Eigenstates of the interacting bosons in homogeneous lattices and in the presence of harmonic confinement are analyzed. Their knowledge is essential for understanding of quantum phase transitions at zero and finite temperature.

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Section: Superfluiditymentioning

confidence: 99%

Ultracold bosons with short-range interaction in regular optical lattices

2016

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“…Already for a single two-level system, the answers to these two questions are non-trivial as the system can coherently Rabi flip-flop at a different frequency from that of the drive. At the next level of complexity are integrable manybody systems such as periodically driven non-interacting fermions [4][5][6][7]. The dynamics is governed by an effective quadratic Floquet Hamiltonian; thus the stationary state coincides with an appropriate periodic generalized Gibbs ensemble [8].…”

Section: Introductionmentioning

confidence: 99%

Interaction-stabilized steady states in the drivenO(N)model

Chandran

Sondhi

2016

Phys. Rev. B

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We study periodically driven bosonic scalar field theories in the infinite N limit. It is well-known that the free theory can undergo parametric resonance under monochromatic modulation of the mass term and thereby absorb energy indefinitely. Interactions in the infinite N limit terminate this increase for any choice of the UV cutoff and driving frequency. The steady state has non-trivial correlations and is synchronized with the drive. The O(N ) model at infinite N provides the first example of a clean interacting quantum system that does not heat to infinite temperature at any drive frequency.

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“…(9) shows that U 2 is equal to I if the total number of particles N tot = N A + N B is even and −I if N tot is odd. We can now define an effective Hamiltonian for evolution for time 2T as follows.…”

Section: Dynamical Localizationmentioning

confidence: 99%

Effects of interactions on periodically driven dynamically localized systems

Agarwala

Sen

2017

Phys. Rev. B

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It is known that there are lattice models in which non-interacting particles get dynamically localized when periodic δ-function kicks are applied with a particular strength. We use both numerical and analytical methods to study the effects of interactions in three different models in one dimension. The systems we have considered include spinless fermions with interactions between nearest-neighbor sites, the Hubbard model of spin-1/2 fermions, and the Bose Hubbard model with on-site interactions. We derive effective Floquet Hamiltonians up to second order in the time period of kicking. Using these we show that interactions can give rise to a variety of interesting results such as two-body bound states in all three models and dispersionless few-particle bound states with more than two particles for spinless fermions and bosons. We substantiate these results by exact diagonalization and stroboscopic time evolution of systems with a few particles.We derive a pseudo-spin-1/2 limit of the Bose Hubbard system in the thermodynamic limit and show that a special case of this has an exponentially large number of degenerate eigenstates of the effective Hamiltonian. Finally we study the effect of changing the strength of the δ-function kicks slightly away from perfect dynamical localization; we find that a single particle remains dynamically localized for a long time after which it moves ballistically.

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Dynamical localization in a chain of hard core bosons under periodic driving

Cited by 77 publications

References 45 publications

Ultracold bosons with short-range interaction in regular optical lattices

Ultracold bosons with short-range interaction in regular optical lattices

Interaction-stabilized steady states in the drivenO(N)model

Effects of interactions on periodically driven dynamically localized systems

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