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We show the localization transition and its effect on two dynamical processes for an extended Aubry-Andr\'e-Harper model with incommensurate on-site and hopping potentials. After specifying an extended Aubry-Andr\'e-Harper model, we check…

Disordered Systems and Neural Networks · Physics 2017-11-22 X. L. Zhao , Z. C. Shi , C. S. Yu , X. X. Yi

The population evolution of single excitation is studied in the Aubry- Andr\'{e}- Harper (AAH) model coupled to a $d (=1,2,3)$-dimensional simple lattices bath with a focus on the effect of localization in the system and the dimensionality…

Quantum Physics · Physics 2021-11-23 H. T. Cui , M. Qin , L. Tang , H. Z. Shen , X. X. Yi

We study transport across the Aubry-Andr\'e-Harper localization transition in the presence of non-Markovian dissipation. For a single particle initially at the center of the chain, we show that bath memory (i.e., finite decay time of bath…

A generalization of the Aubry-Andr\'e-Harper (AAH) model is developed, containing a tunable phase shift between on-site and off-diagonal modulations. A localization transition can be induced by varying just this phase, keeping all other…

Mesoscale and Nanoscale Physics · Physics 2015-01-26 Fangli Liu , Somnath Ghosh , Y. D. Chong

We investigate localization transition in an open quasiperiodic ladder where the quasiperiodicity is described by the Aubry-Andr\'e-Harper model. While previous studies have shown that higher-order hopping or constrained quasiperiodic…

Mesoscale and Nanoscale Physics · Physics 2025-11-13 Suparna Sarkar , Soumya Satpathi , Swapan K. Pati

The interplay between dissipation and localization in quantum systems has garnered significant attention due to its potential to manipulate transport properties and induce phase transitions. In this work, we explore the dissipation-induced…

Quantum Physics · Physics 2025-04-15 Mingdi Xu , Zijun Wei , Xiang-Ping Jiang , Lei Pan

The discretization approximation method commonly used to simulate the dynamics of quantum system coupled to the environment in continuum often suffers from the periodically partial recovery of initial state because of the effect of finite…

Quantum Physics · Physics 2025-05-07 H. T. Cui , Y. A. Yan , M. Qin , X. X. Yi

The interplay between interaction, disorder, and dissipation has shown a rich phenomenology. Here we investigate a disordered XXZ spin chain in contact with a bath which, alone, would drive the system towards a highly delocalized and…

Disordered Systems and Neural Networks · Physics 2021-04-01 Xiansong Xu , Dario Poletti

We investigate the Anderson localization in non-Hermitian Aubry-Andr\'e-Harper (AAH) models with imaginary potentials added to lattice sites to represent the physical gain and loss during the interacting processes between the system and…

Disordered Systems and Neural Networks · Physics 2017-06-26 Qi-Bo Zeng , Shu Chen , Rong Lü

One-dimensional quantum emitters with chiral couplings can exhibit nonreciprocal decay channels, along with light-induced dipole-dipole interactions mediated via an atom-waveguide interface. When the position disorders are introduced to…

Quantum Physics · Physics 2020-10-28 H. H. Jen

In an isolated single-particle quantum system a spatial disorder can induce Anderson localization. Being a result of interference, this phenomenon is expected to be fragile in the face of dissipation. Here we show that dissipation can drive…

Disordered Systems and Neural Networks · Physics 2017-02-22 I. Yusipov , T. Laptyeva , S. Denisov , M. Ivanchenko

According to the second law of thermodynamics the total entropy of a system is increased during almost any dynamical process. The positivity of the specific heat implies that the entropy increase is associated with heating. This is…

Statistical Mechanics · Physics 2015-06-11 Luca D'Alessio , Anatoli Polkovnikov

Coupling a many-body-localized system to a dissipative bath necessarily leads to delocalization. Here, we investigate the nature of the ensuing relaxation dynamics and the information it holds on the many-body-localized state. We formulate…

Strongly Correlated Electrons · Physics 2016-04-20 Mark H Fischer , Mykola Maksymenko , Ehud Altman

We study quantum transport in a quasiperiodic Aubry-Andr\'e-Harper (AAH) model induced by the coupling of the system to a Markovian heat bath. We find that coupling the heat bath locally does not affect transport in the delocalized and…

Disordered Systems and Neural Networks · Physics 2023-07-14 Devendra Singh Bhakuni , Talía L. M. Lezama , Yevgeny Bar Lev

The dynamic localization in energy space -- suppression of the absorption of energy from an external microwave field due to quantum interference -- was analyzed recently for a closed quantum dot in the absence of electron-electron…

Mesoscale and Nanoscale Physics · Physics 2009-11-10 D. M. Basko

A generalization of the Aubry-Andr\'e model, the non-interacting GPD model introduced in S. Ganeshan et al.,[ Phys. Rev. Lett. 114, 146601 (2015)], is known analytically to possess a mobility edge, allowing both extended and localized…

Disordered Systems and Neural Networks · Physics 2023-09-01 Yi-Ting Tu , DinhDuy Vu , Sankar Das Sarma

We propose an one-dimensional generalized Aubry-Andr{\'e}-Harper (AAH) model with off-diagonal hopping and staggered on-site potential. We find that the localization transitions could be multiple reentrant with the increasing of staggered…

Disordered Systems and Neural Networks · Physics 2023-06-05 Rui Qi , Junpeng Cao , Xiang-Ping Jiang

We investigate the probable delocalization-localization transition in open quantum systems with disorder. The disorder can induce localization in isolated quantum systems and it is generally recognized that localization is fragile under the…

Disordered Systems and Neural Networks · Physics 2025-05-28 Xuanpu Yang , Xiang-Ping Jiang , Zijun Wei , Yucheng Wang , Lei Pan

Dissipation is traditionally regarded as a disruptive factor in quantum systems because it often leads to decoherence and delocalization. However, recent insights into engineered dissipation reveal that it can be tuned to facilitate various…

Quantum Physics · Physics 2026-02-03 Shilpi Roy , Jiangbin Gong

Anderson localization is a phase transition between a metallic phase, where wavefunctions are extended and delocalized in space, and an insulating phase, where wavefunctions are completely localized. These transitions are driven by…

Disordered Systems and Neural Networks · Physics 2026-01-30 Pasquale Marra
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