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Ganguly S, Sarkar S, Mondal K, Maiti SK. Phenomenon of multiple reentrant localization in a double-stranded helix with transverse electric field. Sci Rep 2024; 14:3059. [PMID: 38321060 PMCID: PMC10847133 DOI: 10.1038/s41598-024-52579-2] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Key Words] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 08/08/2023] [Accepted: 01/20/2024] [Indexed: 02/08/2024] Open
Abstract
The present work explores the potential for observing multiple reentrant localization behavior in a double-stranded helical (DSH) system, extending beyond the conventional nearest-neighbor hopping (NNH) interaction. The DSH system is considered to have hopping dimerization in each strand, while also being subjected to a transverse electric field. The inclusion of an electric field serves the dual purpose of inducing quasi-periodic disorder and strand-wise staggered site energies. Two reentrant localization regions are identified: one exhibiting true extended behavior in the thermodynamic limit, while the second region shows quasi-extended characteristics with partial spreading within the helix. The DSH system exhibits three distinct single-particle mobility edges linked to localization transitions present in the system. The analysis in this study involves examining various parameters such as the single-particle energy spectrum, inverse participation ratio, local probability amplitude, and more. Our proposal, combining achievable hopping dimerization and induced correlated disorder, presents a unique opportunity to study phenomenon of reentrant localization, generating significant research interest.
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Affiliation(s)
- Sudin Ganguly
- Department of Physics, School of Applied Sciences, University of Science and Technology Meghalaya, Ri-Bhoi, 793101, India
| | - Suparna Sarkar
- Physics and Applied Mathematics Unit, Indian Statistical Institute, 203 Barrackpore Trunk Road, Kolkata, 700108, India
| | - Kallol Mondal
- School of Physical Sciences, National Institute of Science Education and Research Bhubaneswar, Jatni, Odisha, 752050, India.
- Homi Bhabha National Institute, Training School Complex, Anushaktinagar, Mumbai, 400094, India.
| | - Santanu K Maiti
- Physics and Applied Mathematics Unit, Indian Statistical Institute, 203 Barrackpore Trunk Road, Kolkata, 700108, India
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2
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Roy S, Mishra T, Tanatar B, Basu S. Reentrant Localization Transition in a Quasiperiodic Chain. PHYSICAL REVIEW LETTERS 2021; 126:106803. [PMID: 33784113 DOI: 10.1103/physrevlett.126.106803] [Citation(s) in RCA: 9] [Impact Index Per Article: 3.0] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Received: 08/09/2020] [Accepted: 02/01/2021] [Indexed: 06/12/2023]
Abstract
Systems with quasiperiodic disorder are known to exhibit a localization transition in low dimensions. After a critical strength of disorder, all the states of the system become localized, thereby ceasing the particle motion in the system. However, in our analysis, we show that in a one-dimensional dimerized lattice with staggered quasiperiodic disorder, after the localization transition, some of the localized eigenstates become extended for a range of intermediate disorder strengths. Eventually, the system undergoes a second localization transition at a higher disorder strength, leading to all states being localized. We also show that the two localization transitions are associated with the mobility regions hosting the single-particle mobility edges. We establish this reentrant localization transition by analyzing the eigenspectra, participation ratios, and the density of states of the system.
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Affiliation(s)
- Shilpi Roy
- Department of Physics, Indian Institute of Technology Guwahati-Guwahati, 781039 Assam, India
| | - Tapan Mishra
- Department of Physics, Indian Institute of Technology Guwahati-Guwahati, 781039 Assam, India
| | - B Tanatar
- Department of Physics, Bilkent University, TR-06800 Bilkent, Ankara, Turkey
| | - Saurabh Basu
- Department of Physics, Indian Institute of Technology Guwahati-Guwahati, 781039 Assam, India
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3
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An FA, Padavić K, Meier EJ, Hegde S, Ganeshan S, Pixley JH, Vishveshwara S, Gadway B. Interactions and Mobility Edges: Observing the Generalized Aubry-André Model. PHYSICAL REVIEW LETTERS 2021; 126:040603. [PMID: 33576679 DOI: 10.1103/physrevlett.126.040603] [Citation(s) in RCA: 2] [Impact Index Per Article: 0.7] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Received: 07/15/2020] [Revised: 12/04/2020] [Accepted: 01/08/2021] [Indexed: 06/12/2023]
Abstract
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 protected by a duality symmetry. These one-dimensional tight-binding models can be viewed as a generalization of the well-known Aubry-André model, with an energy-dependent self-duality condition that constitutes an analytical mobility edge relation. By adiabatically preparing low and high energy eigenstates of this model system and performing microscopic measurements of their participation ratio, we track the evolution of the mobility edge as the energy-dependent density of states is modified by the model's tuning parameter. Our results show strong deviations from single-particle predictions, consistent with attractive interactions causing both enhanced localization of the lowest energy state due to self-trapping and inhibited localization of high energy states due to screening. This study paves the way for quantitative studies of interaction effects on self-duality induced mobility edges.
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Affiliation(s)
- Fangzhao Alex An
- Department of Physics, University of Illinois at Urbana-Champaign, Urbana, Illinois 61801-3080, USA
| | - Karmela Padavić
- Department of Physics, University of Illinois at Urbana-Champaign, Urbana, Illinois 61801-3080, USA
| | - Eric J Meier
- Department of Physics, University of Illinois at Urbana-Champaign, Urbana, Illinois 61801-3080, USA
| | - Suraj Hegde
- Max-Planck Institute for Physics of Complex Systems, 01187 Dresden, Germany
| | - Sriram Ganeshan
- Physics Department, City College of the CUNY, New York, New York 10031, USA
- CUNY Graduate Center, New York, New York 10031, USA
| | - J H Pixley
- Department of Physics and Astronomy, Center for Materials Theory, Rutgers University, Piscataway, New Jersey 08854, USA
| | - Smitha Vishveshwara
- Department of Physics, University of Illinois at Urbana-Champaign, Urbana, Illinois 61801-3080, USA
| | - Bryce Gadway
- Department of Physics, University of Illinois at Urbana-Champaign, Urbana, Illinois 61801-3080, USA
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4
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Localisation of weakly interacting bosons in two dimensions: disorder vs lattice geometry effects. Sci Rep 2019; 9:11049. [PMID: 31363111 PMCID: PMC6667487 DOI: 10.1038/s41598-019-47279-1] [Citation(s) in RCA: 4] [Impact Index Per Article: 0.8] [Reference Citation Analysis] [Abstract] [Track Full Text] [Download PDF] [Figures] [Journal Information] [Subscribe] [Scholar Register] [Received: 06/07/2018] [Accepted: 07/02/2019] [Indexed: 11/24/2022] Open
Abstract
We investigate the effects of disorder and lattice geometry against localisation phenomena in a weakly interacting ultracold bosonic gas confined in a 2D optical lattice. The behaviour of the quantum fluid is studied at the mean-field level performing computational experiments, as a function of disorder strength for lattices of sizes similar to current experiments. Quantification of localisation, away from the Bose glass phase, was obtained directly from the stationary density profiles through a robust statistical analysis of the condensate component, as a function of the disorder amplitude. Our results show a smooth transition, or crossover, to localisation induced by disorder in square and triangular lattices. In contrast, associated to its larger tunneling amplitude, honeycomb lattices show absence of localisation for the same range of disorder strengths and same lattice amplitude, while also exhibiting partial localisation for large disorder amplitudes. We also conclude that the coordination number z have a partial influence on how fast this smooth transition occurs as the system size increases. Signatures of disorder are also found in the ground state energy spectrum, where a continuous distribution emerges instead of a distribution of sharp peaks proper to the system in the absence of disorder.
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5
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Lüschen HP, Scherg S, Kohlert T, Schreiber M, Bordia P, Li X, Das Sarma S, Bloch I. Single-Particle Mobility Edge in a One-Dimensional Quasiperiodic Optical Lattice. PHYSICAL REVIEW LETTERS 2018; 120:160404. [PMID: 29756950 DOI: 10.1103/physrevlett.120.160404] [Citation(s) in RCA: 3] [Impact Index Per Article: 0.5] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Received: 09/15/2017] [Indexed: 06/08/2023]
Abstract
A single-particle mobility edge (SPME) marks a critical energy separating extended from localized states in a quantum system. In one-dimensional systems with uncorrelated disorder, a SPME cannot exist, since all single-particle states localize for arbitrarily weak disorder strengths. However, in a quasiperiodic system, the localization transition can occur at a finite detuning strength and SPMEs become possible. In this Letter, we find experimental evidence for the existence of such a SPME in a one-dimensional quasiperiodic optical lattice. Specifically, we find a regime where extended and localized single-particle states coexist, in good agreement with theoretical simulations, which predict a SPME in this regime.
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Affiliation(s)
- Henrik P Lüschen
- Fakultät für Physik, Ludwig-Maximilians-Universität München, Schellingstraße 4, 80799 Munich, Germany
- Max-Planck-Institut für Quantenoptik, Hans-Kopfermann-Straße 1, 85748 Garching, Germany
| | - Sebastian Scherg
- Fakultät für Physik, Ludwig-Maximilians-Universität München, Schellingstraße 4, 80799 Munich, Germany
- Max-Planck-Institut für Quantenoptik, Hans-Kopfermann-Straße 1, 85748 Garching, Germany
| | - Thomas Kohlert
- Fakultät für Physik, Ludwig-Maximilians-Universität München, Schellingstraße 4, 80799 Munich, Germany
- Max-Planck-Institut für Quantenoptik, Hans-Kopfermann-Straße 1, 85748 Garching, Germany
| | - Michael Schreiber
- Fakultät für Physik, Ludwig-Maximilians-Universität München, Schellingstraße 4, 80799 Munich, Germany
- Max-Planck-Institut für Quantenoptik, Hans-Kopfermann-Straße 1, 85748 Garching, Germany
| | - Pranjal Bordia
- Fakultät für Physik, Ludwig-Maximilians-Universität München, Schellingstraße 4, 80799 Munich, Germany
- Max-Planck-Institut für Quantenoptik, Hans-Kopfermann-Straße 1, 85748 Garching, Germany
| | - Xiao Li
- Condensed Matter Theory Center and Joint Quantum Institute, University of Maryland, College Park, Maryland 20742-4111, USA
| | - S Das Sarma
- Condensed Matter Theory Center and Joint Quantum Institute, University of Maryland, College Park, Maryland 20742-4111, USA
| | - Immanuel Bloch
- Fakultät für Physik, Ludwig-Maximilians-Universität München, Schellingstraße 4, 80799 Munich, Germany
- Max-Planck-Institut für Quantenoptik, Hans-Kopfermann-Straße 1, 85748 Garching, Germany
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6
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Müller CA, Shapiro B. Comment on "Three-dimensional Anderson localization in variable scale disorder". PHYSICAL REVIEW LETTERS 2014; 113:099601. [PMID: 25216015 DOI: 10.1103/physrevlett.113.099601] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Received: 01/16/2014] [Indexed: 06/03/2023]
Affiliation(s)
- C A Müller
- Fachbereich Physik, Universität Konstanz, 78457 Konstanz, Germany and Centre for Quantum Technologies, National University of Singapore, Singapore 117543, Singapore
| | - B Shapiro
- Department of Physics, Technion-Israel Institute of Technology, Haifa 32000, Israel
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McGehee WR, Kondov SS, Xu W, Zirbel JJ, DeMarco B. McGehee et al. reply. PHYSICAL REVIEW LETTERS 2014; 113:099602. [PMID: 25216016 DOI: 10.1103/physrevlett.113.099602] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Received: 04/02/2014] [Indexed: 06/03/2023]
Affiliation(s)
- W R McGehee
- Department of Physics, University of Illinois at Urbana-Champaign, Urbana, Illinois 61801, USA
| | - S S Kondov
- Department of Physics, University of Illinois at Urbana-Champaign, Urbana, Illinois 61801, USA
| | - W Xu
- Department of Physics, University of Illinois at Urbana-Champaign, Urbana, Illinois 61801, USA
| | - J J Zirbel
- Department of Physics, University of Illinois at Urbana-Champaign, Urbana, Illinois 61801, USA
| | - B DeMarco
- Department of Physics, University of Illinois at Urbana-Champaign, Urbana, Illinois 61801, USA
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