We investigate localization transition in an open quasiperiodic ladder where the quasiperiodicity is described by the Aubry-André-Harper model. While previous studies have shown that higher-order hopping or constrained quasiperiodic potentials can induce a mixed-phase zone in one dimension, we demonstrate that the dissipation can induce mixed phase zone in a one dimensional nearest-neighbor system without imposing any explicit constraints on the quasiperiodic potential or hopping parameter. Our approach exploits an exact correspondence between the eigenspectrum of the Liouvillian superoperator and that of the non-Hermitian Hamiltonian, valid for quadratic fermionic systems under linear dissipation. Using third quantization approach within Majorana fermionic representation, we analyze two dissipation configurations: alternating gain and loss at every site, and at alternate sites under balanced and imbalanced conditions. By computing the inverse and normalized participation ratios, we show that dissipation can drive the system into three distinct phases: delocalizd, mixed, and localized. Notably, the mixed-phase zone is absent for balanced dissipation at every site but emerges upon introducing imbalance, while for alternate site dissipation it appears in both balanced and imbalanced cases. Furthermore, the critical points and the width of the mixed-phase window can be selectively tuned by varying the dissipation strength. These findings reveal that the dissipation plays a decisive role in reshaping localization transitions in quasiperiodic systems, offering new insight into the interplay between non-Hermitian effects and quasiperiodic order.
Lateral Shift as a Control Knob for Localization Transitions in a Quasiperiodic Ladder
College of Physics and Optoelectronic Engineering, Ocean University of China(中国海洋大学物理与光电工程学院);Qingdao Key Laboratory of Advanced Optoelectronics(青岛先进光电技术重点实验室);Engineering Research Center of Advanced Marine Physical Instruments and Equipment of MOE(教育部海洋物理仪器与装备工程研究中心);Department of Physics, National University of Singapore(新加坡国立大学物理系);Centre for Quantum Technologies, National University of Singapore(新加坡国立大学量子技术中心);MajuLab, CNRS-UCA-SU-NUS-NTU International Joint Research Unit(马久实验室(CNRS-尼斯大学-索邦大学-新加坡国立大学-南洋理工大学国际联合研究单位));Center for Phononics and Thermal Energy Science, China-EU Joint Lab on Nanophononics, Shanghai Key Laboratory of Special Artificial Microstructure Materials and Technology, School of Physics Science and Engineering, Tongji University(同济大学物理科学与技术学院特种人工微结构材料与技术上海市重点实验室中欧纳米声学联合实验室声子学与热能科学中心)
Interplay of Quasiperiodicity, Hubbard Interactions, and Staggered Magnetism in a 1D Ring: Localization and Re-entrant Characteristics
School of Basic Sciences, Indian Institute of Technology Bhubaneswar(印度理工学院布巴内斯瓦尔基础科学学院);Institute of Physics, Sachivalaya Marg, Bhubaneswar(布巴内斯瓦尔物理研究所);Homi Bhabha National Institute, Training School Complex, Anushaktinagar, Mumbai(霍米·巴巴国立学院培训学院综合体)
Temperature-induced optical enhancement near a localization transition
Centro de Física das Universidades do Minho e do Porto, LaPMET, Departamento de Física e Astronomia, Faculdade de Ciências, Universidade do Porto(波尔图大学理学院物理与天文系);Princeton Center for Theoretical Science, Princeton University(普林斯顿大学理论科学中心);Beijing Computational Science and Research Center(北京计算科学研究中心)
The fundamental localization phases in quasiperiodic systems: A unified framework and exact results
International Center for Quantum Materials and School of Physics, Peking University(北京大学量子材料科学中心与物理学院);Hefei National Laboratory(合肥国家实验室);School of Mathematics and Statistics, Nanjing University of Science and Technology(南京理工大学数学与统计学院);Shenzhen Institute for Quantum Science and Engineering, Southern University of Science and Technology(南方科技大学深圳量子科学与工程学院);International Quantum Academy(国际量子科学院);Guangdong Provincial Key Laboratory of Quantum Science and Engineering, Southern University of Science and Technology(南方科技大学广东省量子科学与工程重点实验室);Chern Institute of Mathematics and LPMC, Nankai University(南开大学陈省身数学研究所与理论力学研究中心)
Competing skin effect and quasiperiodic localization in the non-Hermitian Su-Schrieffer-Heeger chain: Reentrant delocalization, spectral topology destruction, and entanglement suppression