TY - JOUR
T1 - Numerical study of the schrödinger equation for repulsively interacting particles in an optical lattice and Mott-like states
AU - Sakaguchi, Hidetsugu
AU - Li, Ben
PY - 2014/11/15
Y1 - 2014/11/15
N2 - We propose imaginary-time evolution equations to numerically obtain the ground state, excited states, and Bloch states of the Schrödinger equations of more than one particle. The method is applied to the Schrödinger equation of two or three bosons interacting repulsively in an optical lattice. When the repulsive interaction is sufficiently strong, each lattice point is occupied by one particle and particle motion is suppressed, which corresponds to a Mott-like state. A dynamical response of the Mott-like state to a weak additional periodic potential is also studied.
AB - We propose imaginary-time evolution equations to numerically obtain the ground state, excited states, and Bloch states of the Schrödinger equations of more than one particle. The method is applied to the Schrödinger equation of two or three bosons interacting repulsively in an optical lattice. When the repulsive interaction is sufficiently strong, each lattice point is occupied by one particle and particle motion is suppressed, which corresponds to a Mott-like state. A dynamical response of the Mott-like state to a weak additional periodic potential is also studied.
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U2 - 10.7566/JPSJ.83.114005
DO - 10.7566/JPSJ.83.114005
M3 - Article
AN - SCOPUS:84925002950
SN - 0031-9015
VL - 83
JO - Journal of the Physical Society of Japan
JF - Journal of the Physical Society of Japan
IS - 11
M1 - 114005
ER -