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We investigate quantum transport in an off-diagonal Aubry--Andr\'e--Harper chain. The periodic hopping modulation generates effective internal boundaries that strongly influence the transmission characteristics. We show that edge, in-band…

Mesoscale and Nanoscale Physics · Physics 2026-04-30 Moumita Patra

The Aubry-Andr\'e or Harper (AAH) model has been the subject of extensive theoretical research in the context of quantum localization. Recently, it was shown that one-dimensional quasicrystals described by the incommensurate AAH model has a…

Mesoscale and Nanoscale Physics · Physics 2013-05-03 Sriram Ganeshan , Kai Sun , S. Das Sarma

Quasi-periodic lattice systems offer diverse transport properties. In this work, we investigate the environment induced effects on transport properties for quasi-periodic systems, namely the one-dimensional Aubry-Andr\'e-Harper (AAH)…

Mesoscale and Nanoscale Physics · Physics 2022-06-29 Madhumita Saha , B. Prasanna Venkatesh , Bijay Kumar Agarwalla

We study the high temperature transport behavior of the Aubry-Andr\'e-Harper (AAH) model, both in the isolated thermodynamic limit and in the open system. At the critical point of the AAH model, we find hints of super-diffusive behavior…

Mesoscale and Nanoscale Physics · Physics 2018-05-30 Archak Purkayastha , Sambuddha Sanyal , Abhishek Dhar , Manas Kulkarni

Topological quantum optical states in one-dimensional (1D) quasiperiodic cold atomic chains are studied in this work. We propose that by introducing incommensurate modulations on the interatomic distances of 1D periodic atomic chains, the…

Optics · Physics 2021-02-03 B. X. Wang , C. Y. Zhao

Quasiperiodic systems host exotic transport regimes that are distinct from those found in periodic or disordered lattices. In this work, we study quantum transport in the Aubry-Andr\'e-Harper lattice in a two-terminal setup coupled to…

Mesoscale and Nanoscale Physics · Physics 2026-01-16 Jinyuan Shang , Haiping Hu

By introducing loss to one sublattice of a dimer chain described by the extended Aubry-Andr\'e or Harper (AAH) model, we study the topological features including the edge states, spectrum and winding number of the chain. We find that the…

Quantum Gases · Physics 2017-05-03 X. L. Zhao , Z. C. Shi , C. S. Yu , X. X. Yi

In this paper, we look at four generalizations of the one dimensional Aubry-Andre-Harper (AAH) model which possess mobility edges. We map out a phase diagram in terms of population imbalance, and look at the system size dependence of the…

Statistical Mechanics · Physics 2021-05-19 Sayantan Roy , Subroto Mukerjee , Manas Kulkarni

We study dephasing-enhanced transport in boundary-driven quasi-periodic systems. Specifically we consider dephasing modelled by current preserving Lindblad dissipators acting on the non-interacting Aubry-Andr\'e-Harper (AAH) and Fibonacci…

Quantum Physics · Physics 2021-11-10 Artur M. Lacerda , John Goold , Gabriel T. Landi

We develop a theoretical scheme to perform a read-out of the properties of a quasi-periodic system by coupling it to one or two qubits. We show that the decoherence dynamics of a single qubit coupled via a pure dephasing type term to a 1D…

Mesoscale and Nanoscale Physics · Physics 2022-04-07 Madhumita Saha , Bijay Kumar Agarwalla , B. Prasanna Venkatesh

One of the hallmarks of topological systems is the robust quantization of particle transport. It is the origin of the integer-valued quantum Hall conductivity and a potential tool for quantum information technology. Recent experiments on…

Mesoscale and Nanoscale Physics · Physics 2026-03-02 Julius Bohm , Hugo Gerlitz , Christina Jörg , Michael Fleischhauer

We study the transport properties of a topological system coupled to an AC electric field by means of Floquet-Keldysh formalism. We consider a semi-infinite chain of dimers coupled to a semi-infinite metallic lead, and obtain the density of…

Mesoscale and Nanoscale Physics · Physics 2017-02-06 Leonard Ruocco , Álvaro Gómez-León

Environment-assisted quantum transport (ENAQT) is a unique situation where environmental noise can, counterintuitively, enhance the transport of an open quantum system. In this paper, we investigate how the presence of a one-dimensional…

Quantum Physics · Physics 2021-09-07 Donny Dwiputra , Freddy P. Zen

Harnessing the quantum coherence and tunability of molecular-scale structures, we theoretically explore thermoelectric transport in ring-shaped molecular junctions featuring dimerized hopping integrals. By engineering alternating strong and…

Other Condensed Matter · Physics 2025-12-17 Ranjini Bhattacharya , Souvik Roy

Topological phases have recently witnessed a rapid progress in non-Hermitian systems. Here we study a one-dimensional non-Hermitian Aubry-Andr\'e-Harper model with imaginary periodic or quasiperiodic modulations. We demonstrate that the…

Mesoscale and Nanoscale Physics · Physics 2020-06-11 Qi-Bo Zeng , Yan-Bin Yang , Yong Xu

Quantized conductance from topologically protected edge states is a hallmark of two-dimensional topological phases. In contrast, edge states in one-dimensional (1D) topological systems cannot transmit current across the insulating bulk,…

Mesoscale and Nanoscale Physics · Physics 2025-08-12 Bozhen Zhou , Pan Zhang , Yucheng Wang , Chao Yang

Due to the topological nature of Aubry-Andr\'{e}-Harper (AAH) model, exotic edge states have been found existing in one-dimensional periodic and quasiperiodic lattices. In this article, we investigate continuous-time quantum walks of…

Quantum Gases · Physics 2017-01-25 Li Wang , Na Liu , Shu Chen , Yunbo Zhang

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

Quantum transport in a one-dimensional (1D) quasiperiodic lattice with mobility edges is explored. We first investigate the adiabatic pumping between left and right edge modes by resorting to two edge-bulk-edge channels and demonstrate that…

Quantum Physics · Physics 2022-06-22 Yan Xing , Lu Qi , Xuedong Zhao , Zhe Lü , Shutian Liu , Shou Zhang , Hong-Fu Wang

We investigate and map out the non-equilibrium phase diagram of a generalization of the well known Aubry-Andr\'e-Harper (AAH) model. This generalized AAH (GAAH) model is known to have a single-particle mobility edge which also has an…

Disordered Systems and Neural Networks · Physics 2017-12-06 Archak Purkayastha , Abhishek Dhar , Manas Kulkarni
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