Unitary equivalence of twisted quantum states

Abstract

We present the time dynamics of twisted quantum states. We find an explicit connection between the well-known stationary Landau state and an evolving twisted state, even when the Hamiltonian accounts for linear energy dissipation. Utilizing this unitary connection, we analyze nonstationary Landau states and unveil some of their properties. The proposed transformation enables simple evaluation of different operator mean values for the evolving twisted state based on the solution to the classical Ermakov equation and matrix elements calculated on the stationary Landau states. The suggested formalism may significantly simplify analysis and become a convenient tool for further theoretical development on the dissipative evolution of the twisted quantum wave packet.

Several typos have been fixed

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Cited by in corpus (5)

• Nonstationary Laguerre-Gaussian states in magnetic field
• Twisted charged particles in the uniform magnetic field with broken symmetry
• Universal Analytic Solution for the Quantum Transport of Structured Matter-Waves in Magnetic Optics
• Geometry-Enabled Radiation from Structured Paraxial Electrons
• Effective Caldirola-Kanai Model for Accelerating Twisted Dirac States in Nonuniform Axial Fields