Abstract
Using the adaptive time-dependent density matrix renormalization group method, we numerically investigate the expansion dynamics of bosons in a one-dimensional hard-core boson model with three-body interactions. It is found that the bosons expand ballistically with weak interaction, which are obtained by local density and the radius Rn. It is shown that the expansion velocity V, obtained from Rn = Vt, is dependent on the number of bosons. As a prominent result, the expansion velocity decreases with the enhancement of three-body interaction. We further study the dynamics of the system, which quenches from the ground state with two-thirds filling, the results indicate the expansion is also ballistic in the gapless phase regime. It could help us detect the phase transition in the system.
Highlights
Nonequilibrium dynamics in the system with multi-body interactions, such as sudden expansion of Mott insulators (MI) in a one-dimensional hard-core boson model with three-body interactions
We study the dynamics in the system from the ground state with two-thirds filling, and our results indicate that the expansion is ballistic in the gapless regime
We study the expansion Mott insulator in a one-dimensional hard-core boson model with three-body interactions by using the adaptive time-dependent density matrix renormalization group method
Summary
The Hamiltonian we consider is one-dimensional hard-core boson model with three-body interactions, and is given by. The operator of hard-core boson at site i: (bi†)2 = (bi)2 = parameter J is the hopping interaction and chosen as the. 0, and unit of energy in the paper, and only the leading three-body interactions with strength W is considered. The two kinds of transports can be distinguished by using the time dependent radius of the density distribution, which is defined as. The radius has the ability to detect transport whether if is ballistic or diffusive. These have been verified for spin and energy dynamics in the spin-1/2 XXZ chain[14,15]. The time that can be simulated in the system is determined by the entanglement entropy
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