Macroscopic Suppression of Supersonic Quantum Transport

Area of Science:

• Quantum physics
• Condensed matter theory
• Statistical mechanics

Background:

• Strongly interacting quantum lattice gases, such as Fermi-Hubbard and Bose-Hubbard models, are crucial for understanding complex quantum phenomena.
• Investigating the dynamics of macroscopic particle clusters is essential for predicting system behavior.

Purpose of the Study:

• To derive a universal dynamical large deviation principle for macroscopic particle transport in quantum lattice gases.
• To establish a stronger bound on the quantum probability of cluster transport compared to conventional methods.

Main Methods:

• Analysis of macroscopic particle clusters with size fraction θ.
• Derivation of transport probability bounds using quantum dynamics.
• Development of a large deviation principle.

Main Results:

• A substantially stronger bound, exp[θN(vt-r)], for cluster transport probability was derived, significantly improving upon the conventional exp(vt-r).
• This stronger bound demonstrates exponential suppression of transport that scales with system size (N).
• The study establishes a universal dynamical large deviation principle.

Conclusions:

• The findings introduce a universal principle governing macroscopic transport in quantum systems.
• The derived bound provides crucial insights into the limitations of supersonic transport for large particle clusters.
• This work has implications for understanding quantum dynamics and statistical mechanics in strongly correlated systems.