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We construct a tight-binding model that hosts both a quasi-periodic nature and marcoscopically-dengenerate zero-energy modes. The model can be regarded as a counterpart of the Aubry-Andr\'{e}-Harper (AAH) model, which is a paradigmatic…

Mesoscale and Nanoscale Physics · Physics 2025-06-11 Tomonari Mizoguchi , Yasuhiro Hatsugai

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

Quasicrystals are fascinating and important because of their unconventional atomic arrangements, which challenge traditional notions of crystalline structures. Unlike regular crystals, they lack translational symmetry and generate unique…

We introduce a self-consistent theory of mobility edges in nearest-neighbour tight-binding chains with quasiperiodic potentials. Demarcating boundaries between localised and extended states in the space of system parameters and energy,…

Disordered Systems and Neural Networks · Physics 2021-02-10 Alexander Duthie , Sthitadhi Roy , David E. Logan

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

The Aubry-Andr\'e-Harper (AAH) model with a self-dual symmetry plays an important role in studying the Anderson localization. Here we find a self-dual symmetry determining the quantum phase transition between extended and localized states…

Mesoscale and Nanoscale Physics · Physics 2020-07-15 Qi-Bo Zeng , Yong Xu

We propose quasiperiodic chains with tunable mobility edge physics, as a promising platform for engineering long-range quantum entanglement. Using the generalized Aubry-Andr\'e model, we show that the mobility edges play a key role in…

Strongly Correlated Electrons · Physics 2025-07-10 YouYoung Joung , Junmo Jeon , SungBin Lee

Non-Hermitian extensions of the Aubry-Andr\'e-Harper (AAH) model reveal a rich variety of phase transitions arising from the interplay of quasiperiodicity and non-Hermiticity. Despite their theoretical significance, experimental…

Quantum Physics · Physics 2025-08-12 Quan Lin , Christopher Cedzich , Qi Zhou , Peng Xue

Using the quasi-equilibrium Helmholtz energy (qHE), defined as the thermodynamic work in a quasi-static process, we investigate the thermal properties of both an isothermal process and a transition process between the adiabatic and…

Statistical Mechanics · Physics 2022-07-06 Shoki Koyanagi , Yoshitaka Tanimura

We investigate thermodynamic operation of a quasiperiodic lattice with an exact mobility edge, described by the Biddle--Das Sarma model. We use this model as the working medium of a quantum Otto cycle and map its operating mode as a…

Disordered Systems and Neural Networks · Physics 2026-02-10 Ao Zhou , Shujie Cheng , Gao Xianlong

Using synthetic lattices of laser-coupled atomic momentum modes, we experimentally realize a recently proposed family of nearest-neighbor tight-binding models having quasiperiodic site energy modulation that host an exact mobility edge…

By reformulating the first law of thermodynamics in the fashion of quantum-mechanical operators on the parameter manifold, we propose a universal class of quantum heat engines (QHE) using the multi-level quantum system as the working…

Quantum Physics · Physics 2007-05-23 H. T. Quan , P. Zhang , C. P. Sun

We formulate a geometric framework for quasistatic thermodynamics in open quantum systems by parameterizing the dynamics on a control manifold. In the quasistatic limit, the system follows a manifold of stationary states, and the work…

Quantum Physics · Physics 2026-05-01 Eric R. Bittner

The nonequilibrium quantum dynamics of closed many-body systems is a rich yet challenging field. While recent progress for periodically driven (Floquet) systems has yielded a number of rigorous results, our understanding on quantum…

Statistical Mechanics · Physics 2021-08-04 Takashi Mori , Hongzheng Zhao , Florian Mintert , Johannes Knolle , Roderich Moessner

We report an Aubrey-Andre-Harper (AAH) model based quasi-periodic lossless evanescently coupled waveguide lattice to study the unconventional physics of light localization. We present an exclusive methodical analysis of the band-topology of…

Optics · Physics 2021-11-24 Suman Dey , Nikhil Ranjan Das , Somnath Ghosh

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

Quantum coherence provides a controllable thermodynamic resource that can raise or lower the effective temperature of a cavity mode, enabling efficiency tuning in quantum heat engines. Here, we derive analytic expressions for the effective…

Quantum Physics · Physics 2026-04-07 Hui Wang , Yusef Maleki , William J. Munro , Marlan O. Scully

We show theoretically that a thermoelectric heat engine, operating exclusively due to quantum-mechanical interference, can reach optimal linear-response performance. A chiral edge state implementation of a close-to-optimal heat engine is…

Mesoscale and Nanoscale Physics · Physics 2017-06-26 Peter Samuelsson , Sara Kheradsoud , Björn Sothmann

We investigate a generalized Aubry-Andr\'e-Harper (AAH) model with p-wave superconducting pairing. Both the hopping amplitudes between the nearest neighboring lattice sites and the on-site potentials in this system are modulated by a cosine…

Strongly Correlated Electrons · Physics 2016-09-26 Qi-Bo Zeng , Shu Chen , Rong Lü

The Dicke-Hubbard model, describing an ensemble of interacting atoms in a cavity, provides a rich platform for exploring collective quantum phenomena. However, its potential for quantum thermodynamic applications remains largely uncharted.…

Quantum Gases · Physics 2025-11-03 He-Guang Xu , Shujie Cheng
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