Dissipation induced localization transitions in an open quasiperiodic ladder

Area of Science:

• Condensed Matter Physics
• Quantum Mechanics
• Non-Hermitian Physics

Background:

• Localization transitions in quasiperiodic systems are typically induced by higher-order hopping or constrained potentials.
• Open quantum systems introduce dissipation, which can significantly alter system dynamics.

Purpose of the Study:

• To investigate localization transitions in an open quasiperiodic ladder.
• To demonstrate that dissipation can induce a mixed-phase zone in a one-dimensional nearest-neighbor system.
• To explore the role of dissipation configurations on localization phases.

Main Methods:

• Exploiting an exact correspondence between Liouvillian superoperator eigenspectrum and non-Hermitian Hamiltonian.
• Utilizing a third quantization approach within the Majorana fermionic representation.
• Analyzing three dissipation configurations: alternating gain/loss on all sites, alternate sites, and single strand, under balanced/imbalanced conditions.
• Computing inverse and normalized participation ratios to identify system phases.

Main Results:

• Dissipation drives the system into delocalized, mixed, and localized phases.
• A mixed-phase zone emerges with imbalanced dissipation for all-site or single-strand configurations.
• The mixed-phase zone appears in both balanced and imbalanced cases for alternate-site dissipation.
• Critical points and mixed-phase window width are tunable via dissipation strength.

Conclusions:

• Dissipation plays a decisive role in reshaping localization transitions in quasiperiodic systems.
• This work offers new insights into the interplay between non-Hermitian effects and quasiperiodic order.
• The findings highlight dissipation as a key mechanism for controlling localization phenomena.