Coherent State Path Integral for Bloch Particle
Junya Shibata, Komajiro Niizeki
Abstract
We construct a coherent state path integral formalism for the one-dimensional Bloch particle within the single band model. The transition amplitude between two coherent states is a sum of transition amplitudes with different winding numbers on the two-dimensional phase space which has the same topology as that of the cylinder. Appearance of the winding number is due to the periodicity of the quasi-momentum of the Bloch particle. Our formalism is successfully applied to a semiclassical motion of the Bloch particle under a uniform electric field. The wave packet exhibits not only the Bloch oscillation but also a similar breathing to the one for the squeezed state of a harmonic oscillator.
Create a lesson
Related papers
Coherent and ultra-low-power EDSR with a flopping-mode spin qubit in germanium
Alexei Orekhov, Wonjin Jang, Pan Zhang et al.
Disorder-induced modulation of the nonlinear Hall effect in Weyl semimetals
Juan A. Cañas, Daniel A. Bonilla, A. Martín-Ruiz
Coplanar Lateral Gating MoS2 on SrTiO3: A Unified Platform for Classical and Quantum Devices
Prasad Muragesh, Manav Murali, Venkatesha Modur Ramachandra et al.
Predictive Structure to Thermal Conductivity Modeling Framework for BEOL Interconnect Stacks in Advanced Technology Nodes Enabled by Extensive Layer Resolved Thermal Measurements
Zifeng Huang, Yiyang Sun, Tianyu Jia et al.
Plasmons in twisted bilayer graphene across dispersive and flat bands
Antonio Palamara, Michele Pisarra, Antonello Sindona
Highly uniform first-electron position in qubit arrays fabricated on dedicated QSOI(R) 300mm commercial platform
Johan Pelloux-Prayer, Elise Prin, Giselle A. Elbaz et al.