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Related papers: Measuring quantized circular dichroism in ultracol…

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We reveal an intriguing manifestation of topology, which appears in the depletion rate of topological states of matter in response to an external drive. This phenomenon is presented by analyzing the response of a generic 2D Chern insulator…

Quantum Gases · Physics 2017-08-23 D. T. Tran , A. Dauphin , A. G. Grushin , P. Zoller , N. Goldman

Higher-pseudospin fermions, associated with multiple band-crossings in topological semimetals, are the condensed matter analogues of higher-spin fermions in high-energy physics. In this paper, we demonstrate that analyzing the response of a…

Mesoscale and Nanoscale Physics · Physics 2024-06-25 Sajid Sekh , Ipsita Mandal

Great efforts are currently devoted to the engineering of topological Bloch bands in ultracold atomic gases. Recent achievements in this direction, together with the possibility of tuning inter-particle interactions, suggest that…

Quantum Gases · Physics 2019-05-01 Cécile Repellin , Nathan Goldman

In 2D semiconductors and insulators, the Chern number of the valence band Bloch state is an important quantity that has been linked to various material properties, such as the topological order. We elaborate that the opacity of 2D materials…

Strongly Correlated Electrons · Physics 2023-10-25 Paolo Molignini , Bastien Lapierre , R. Chitra , Wei Chen

We propose to measure band topology via quantized drift of Bloch oscillations in a two-dimensional Harper-Hofstadter lattice subjected to tilted fields in both directions. When the difference between the two tilted fields is large, Bloch…

Quantum Gases · Physics 2021-10-04 Bo Zhu , Shi Hu , Honghua Zhong , Yongguan Ke

Quantum Hall states are characterized by a topological invariant, the many-body Chern number, which determines their quantized Hall conductivity. This invariant also emerges in circular dichroic responses, namely, by applying a circular…

Quantum Gases · Physics 2026-01-01 F. Nur Ünal , A. Nardin , N. Goldman

Topological properties lie at the heart of many fascinating phenomena in solid state systems such as quantum Hall systems or Chern insulators. The topology can be captured by the distribution of Berry curvature, which describes the geometry…

Quantum Gases · Physics 2016-05-31 N. Fläschner , B. S. Rem , M. Tarnowski , D. Vogel , D. -S. Lühmann , K. Sengstock , C. Weitenberg

Sixty years ago, Karplus and Luttinger pointed out that quantum particles moving on a lattice could acquire an anomalous transverse velocity in response to a force, providing an explanation for the unusual Hall effect in ferromagnetic…

The quantization of transport and its resilience to backscattering are key features for leveraging topological matter in applications that demand stringent noise mitigation, such as metrology and quantum information processing. Due to the…

Chern insulators are band insulators which exhibit a gap in the bulk and gapless excitations in the edge. Detection of Chern insulators is a serious challenge in cold atoms since the Hall transport measurements are technically unrealistic…

Mesoscale and Nanoscale Physics · Physics 2013-09-30 Xiong-Jun Liu , K. T. Law , T. K. Ng , Patrick A. Lee

Integer-valued topological indices, characterizing nonlocal properties of quantum states of matter, are known to directly predict robust physical properties of equilibrium systems. The Chern number, e.g., determines the quantized Hall…

Topological quantum phases of matter have been a topic of intense interest in contemporary condensed matter physics. Extensive efforts are devoted to investigate various exotic properties of topological matters including topological…

Strongly Correlated Electrons · Physics 2015-11-25 Woo-Ram Lee , Kwon Park

We investigate the localization properties of independent electrons in a periodic background, possibly including a periodic magnetic field, as e.g. in Chern insulators and in Quantum Hall systems. Since, generically, the spectrum of the…

Mathematical Physics · Physics 2018-05-08 D. Monaco , G. Panati , A. Pisante , S. Teufel

Two dimensional topological superconductors with chiral edge modes are predicted to posses a quantized thermal Hall effect proportional to the Chern number, exactly half that for chiral topological insulators. However not much work has been…

Mesoscale and Nanoscale Physics · Physics 2023-11-10 Szczepan Głodzik , Nicholas Sedlmayr

Probing the center-of-mass of an ultracold atomic cloud can be used to measure Chern numbers, the topological invariants underlying the quantum Hall effects. In this work, we show how such center-of-mass observables can have a much richer…

Quantum Gases · Physics 2018-01-24 H. M. Price , O. Zilberberg , T. Ozawa , I. Carusotto , N. Goldman

Materials can be classified by the topological character of their electronic structure and, in this perspective, global attributes immune to local deformations have been discussed in terms of Berry curvature and Chern numbers. Except for…

Mesoscale and Nanoscale Physics · Physics 2019-02-18 Dongbin Shin , Shunsuke A. Sato , Hannes Hübener , Umberto De Giovannini , Jeongwoo Kim , Angel Rubio , Noejung Park

Coherent control via periodic modulation, also known as Floquet engineering, has emerged as a powerful experimental method for the realization of novel quantum systems with exotic properties. In particular, it has been employed to study…

Periodic driving of a quantum system can significantly alter its energy bands and even change the band topology, opening a completely new avenue for engineering novel quantum matter. Although important progress has been made recently in…

Physical systems with non-trivial topological order find direct applications in metrology[1] and promise future applications in quantum computing[2,3]. The quantum Hall effect derives from transverse conductance, quantized to unprecedented…

Atomic Physics · Physics 2019-05-09 Dina Genkina , Lauren M. Aycock , Hsin-I Lu , Alina M. Pineiro , Mingwu Lu , I. B. Spielman

Using THz spectroscopy in external magnetic fields we investigate the low-temperature charge dynamics of strained HgTe, a three dimensional topological insulator. From the Faraday rotation angle and ellipticity a complete characterization…

Strongly Correlated Electrons · Physics 2013-03-27 A. M. Shuvaev , G. V. Astakhov , G. Tkachov , C. Brüne , H. Buhmann , L. W. Molenkamp , A. Pimenov
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