Collision of one-dimensional fermion clusters

Abstract

We study cluster-cluster collisions in one-dimensional Fermi systems with particular emphasis on the non-trivial quantum effects of the collision dynamics. We adopt the Fermi-Hubbard model and the time-dependent density matrix renormalization group method to simulate collision dynamics between two fermion clusters of different spin states with contact interaction. It is elucidated that the quantum effects become extremely strong with the interaction strength, leading to the transmittance much more enhanced than expected from semiclassical approximation. We propose a concise model based on one-to-one collisions, which unveils the origin of the quantum effects and also explains the overall properties of the simulation results clearly. Our concise model can quite widely describe the one-dimensional collision dynamics with contact interaction. Some potential applications, such as repeated collisions, are addressed.Comment: 5 pages, 5 figure

Dynamical symmetry and pair tunneling in a one-dimensional Bose gas colliding with a mobile impurity

“…Interestingly, the behavior of the probability P can be described remarkably well using a simple two-particle picture. In free space, the reflection coefficient (the square of the scattering amplitude) |f (k)| 2 for a particle with momentum k interacting through a contact potential u(|x − x |) = gδ(|x − x |) with a second, stationary particle at position x is given by [4,76,77] (we choose units where h = m/2 = 1):…”

“…A similar picture was used to analyze the collision of fermion clouds in Ref. [77], although the sign of the interaction was not varied in this study. In Ref.…”

“…Thus, the independent collision model (ICM) of Ref. [77], employing a series of independent, consecutive two-body collisions, breaks down when pairing effects are important. For strong interactions |U/J| 1 the purity (3) saturates at a finite value close to unity.…”

Drag dynamics in one-dimensional Fermi systems

“…In cold atom systems, strength and sign of interaction between atoms can be adapted by use of Feshbach resonance [2], and also the lattice potentials can be composed using optical lattices. The dynamics of quantum quench [3][4][5][6][7] has been explored by suddenly changing the trap potential and the interaction, and also theoretically this dynamics has been studied [8][9][10][11][12][13][14][15][16][17][18][19][20][21][22][23][24][25].…”

Many-body molecule formation at a domain wall in a one-dimensional strongly interacting ultracold Fermi gas

“…The paradigmatic scenario considered here involves a strongly repulsive core with a weakly attractive well (0 < −c c 0 ). Our aim is to thoroughly analyze dynamics of two initially separated Fermi clouds-a setup inspired by former experiments [33,54,55], see Fig. 1(b).…”