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We theoretically describe the weak measurement of a two-level system (qubit) and quantify the degree to which such a qubit measurement has a quantum non-demolition (QND) character. The qubit is coupled to a harmonic oscillator which…

Mesoscale and Nanoscale Physics · Physics 2015-05-13 Luca Chirolli , Guido Burkard

We consider the problem of continuous quantum measurement of coherent oscillations between two quantum states of an individual two-state system. It is shown that the interplay between the information acquisition and the backaction dephasing…

Mesoscale and Nanoscale Physics · Physics 2009-10-31 A. N. Korotkov , D. V. Averin

Quantum oscillations amplitude of multiband metals, such as high T c superconductors in the normal state, heavy fermions or organic conductors are generally determined through Fourier analysis of the data even though the oscillatory part of…

Strongly Correlated Electrons · Physics 2018-12-05 Alain Audouard , Jean-Yves Fortin

A weakly nonlinear spectrum and a strongly nonlinear spectrum coexist in a statistically steady state of elastic wave turbulence. The analytical representation of the nonlinear frequency is obtained by evaluating the extended self-nonlinear…

Chaotic Dynamics · Physics 2014-01-15 Naoto Yokoyama , Masanori Takaoka

Topology is a central notion in the classification of band insulators and characterization of entangled many-body quantum states. In some cases, it manifests as quantized observables such as quantum Hall conductance. However, being…

Strongly Correlated Electrons · Physics 2022-08-26 Sangjin Lee , Kyung-Hwan Jin , Byungmin Kang , B. J. Kim , Gil Young Cho

The rich variety of crystalline symmetries in solids leads to a plethora of topological crystalline insulators (TCIs) featuring distinct physical properties, which are conventionally understood in terms of bulk invariants specialized to the…

Strongly Correlated Electrons · Physics 2018-09-19 Eslam Khalaf , Hoi Chun Po , Ashvin Vishwanath , Haruki Watanabe

Fundamental topological phenomena in condensed matter physics are associated with a quantized electromagnetic response in units of fundamental constants. Recently, it has been predicted theoretically that the time-reversal invariant…

Strongly Correlated Electrons · Physics 2018-11-26 Joseph Maciejko , Xiao-Liang Qi , H. Dennis Drew , Shou-Cheng Zhang

Topological insulators in three dimensions are characterized by a Z2-valued topological invariant, which consists of a strong index and three weak indices. In the presence of disorder, only the strong index survives. This paper studies the…

Mesoscale and Nanoscale Physics · Physics 2016-11-25 H. -M. Guo

Topological insulators are electronic materials that have a bulk band gap like an ordinary insulator, but have protected conducting states on their edge or surface. The 2D topological insulator is a quantum spin Hall insulator, which is a…

Mesoscale and Nanoscale Physics · Physics 2015-03-13 M. Z. Hasan , C. L. Kane

Topological insulators are transformative quantum solids with immune-to-disorder metallic surface states having Dirac band structure. Ubiquitous charged bulk defects, however, pull the Fermi energy into the bulk bands, denying access to…

Three-dimensional topological insulators are classified into "strong" (STI) and "weak" (WTI) according to the nature of their surface states. While the surface states of the STI are topologically protected from localization, this does not…

Materials Science · Physics 2012-07-04 Zohar Ringel , Yaacov E. Kraus , Ady Stern

Topological insulators in three dimensions are studied as a problem of supersymmetric quantum mechanics. The spin-orbit coupling is induced as a consequence of the supersymmetrization procedure and we show that it is equivalent to the…

High Energy Physics - Theory · Physics 2022-04-13 J. Gamboa , F. Mendez

Topological insulators are characterized by insulating bulk and conducting surface, the latter is a necessity consequence of the nontrivial topology of the wavefunctions forming the valence band. This chapter gives a historical overview of…

Mesoscale and Nanoscale Physics · Physics 2023-07-27 Yoichi Ando

Topological insulators (TIs) are expected to be a promising platform for novel quantum phenomena, whose experimental realizations require sophisticated devices. In this Technical Review, we discuss four topics of particular interest for TI…

Mesoscale and Nanoscale Physics · Physics 2022-04-07 Oliver Breunig , Yoichi Ando

Symmetries play a crucial role in the classification of topological phases of matter. Although recent studies have established a powerful framework to search for and classify topological phases based on symmetry indicators, there exists a…

Quantum Physics · Physics 2022-10-11 W. -D. Zhao , Y. -B. Yang , Y. Jiang , Z. -C. Mao , W. -X. Guo , L. -Y. Qiu , G. -X. Wang , L. Yao , L. He , Z. -C. Zhou , Y. Xu , L. -M. Duan

We investigate the effect of a high frequency electromagnetic field with both of circularly and linearly polarization, on the emergence of quantum phases on thin topological insulators. Simultaneously, the influence of the system parameters…

Mesoscale and Nanoscale Physics · Physics 2021-12-21 S. Sajad Dabiri , Hosein Cheraghchi

Topological insulators are physically distinguishable from normal insulators only near edges and defects, while in the bulk there is no clear signature to their topological order. In this work we show that the Z index of topological…

Mesoscale and Nanoscale Physics · Physics 2011-06-24 Zohar Ringel , Yaacov E. Kraus

We describe a new type of torsional oscillator, suitable for studies of quantum fluids at frequencies of $\sim$ $100$ Hz, but capable of reaching high velocities of up to several cm\,s$^{-1}$. This requires the oscillator amplitude to…

Other Condensed Matter · Physics 2022-01-24 A. M. Gu'enault , P. V. E. McClintock , M. Poole , R. Schanen , V. Tsepelin , D. Zmeev , D. Schmoranzer , W. F. Vinen

Two-dimensional topological insulators, characterized by symmetry-protected anomalous boundary modes, have been generalized to the strongly correlated regime for both bosonic and fermionic systems. As correlated topological insulators (TI)…

Strongly Correlated Electrons · Physics 2025-11-18 Yixin Ma , Chao Xu , Shenghan Jiang

Coherent superpositions are one of the hallmarks of quantum mechanics and are vital for any quantum mechanical device to outperform the classically achievable. Generically, superpositions are verified in interference experiments, but…

Quantum Physics · Physics 2020-03-04 Benjamin Dive , Nikolaos Koukoulekidis , Stefanos Mousafeiris , Florian Mintert