Effect of noise on a quantum bound state

Area of Science:

• Quantum mechanics
• Condensed matter physics
• Statistical physics

Background:

• Quantum wave functions describe particle behavior in quantum systems.
• Lattice systems and time-dependent disorder are crucial in various physical phenomena.
• Understanding wave function stability is key to predicting system behavior.

Purpose of the Study:

• To investigate the evolution of quantum wave functions on lattices with time-dependent random disorder.
• To analyze the stability of bound state wave functions under noisy conditions.
• To determine the effect of disorder on stationary attractive potentials.

Main Methods:

• Studied quantum wave function evolution on a lattice.
• Introduced time-dependent random disorder.
• Employed time coarse-graining techniques.
• Performed nonperturbative analysis.

Main Results:

• Bound state wave functions exhibit intrinsic statistical instability.
• Noisy disorder completely washes out stationary attractive potentials.
• This effect is observed at large time scales and to any order of density correlations.

Conclusions:

• Time-dependent disorder fundamentally alters quantum system dynamics.
• Attractive potentials are not robust against noisy environments.
• The findings have implications for understanding quantum systems in disordered media.