Disordered bosons in one dimension: from weak- to strong-randomness criticality

Area of Science:

• Condensed matter physics
• Quantum phase transitions

Background:

• One-dimensional (1D) Bose systems exhibit rich quantum phenomena.
• Disorder can significantly alter quantum phase transitions, leading to phenomena like Anderson localization.

Purpose of the Study:

• Investigate the superfluid-insulator quantum phase transition in 1D Bose systems with off-diagonal disorder.
• Determine the universality class and critical behavior under varying disorder strengths.

Main Methods:

• Large-scale Quantum Monte Carlo simulations were employed.
• Analysis focused on critical exponents and scaling behavior.

Main Results:

• For weak disorder, the transition belongs to the same universality class as the clean system's superfluid-Mott insulator transition.
• Beyond a critical disorder strength, the transition becomes nonuniversal and depends on the disorder strength.

Conclusions:

• The nature of the superfluid-insulator transition in 1D bosons is sensitive to disorder strength.
• Results provide insights into disorder-driven quantum phase transitions and their experimental implications.