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We address the problem of determining whether or not a harmonic oscillator has been perturbed by an external force. Quantum detection and estimation theory has been used in devising optimum measurement schemes. Detection probability has…

Quantum Physics · Physics 2015-06-26 Matteo G. A. Paris

Topological insulators are attracting considerable interest due to their potential for technological applications and as platforms for exploring wide-ranging fundamental science questions. In order to exploit, fine-tune, control and…

Some of the most enduring questions in physics--including the quantum measurement problem and the quantization of gravity--involve the interaction of a quantum system with a classical environment. Two linearly coupled harmonic oscillators…

Quantum Physics · Physics 2007-05-23 Rachael M. McDermott , Ian H. Redmount

The efficient probing of spectral features is important for characterising and understanding the structure and dynamics of quantum materials. In this work, we establish a framework for probing the excitation spectrum of quantum many-body…

Quantum Physics · Physics 2025-02-11 Jinzhao Sun , Lucia Vilchez-Estevez , Vlatko Vedral , Andrew T. Boothroyd , M. S. Kim

High-quality quantum oscillators are preferred for precision sensing of external physical parameter because if the noise level due to interactions with the environment is too high, metrological information can be lost due to quantum…

Quantum Physics · Physics 2025-12-17 Adrian E. Rubio Lopez , Felipe Herrera

Nonlinear topological insulators have garnered substantial recent attention as they have both enabled the discovery of new physics due to interparticle interactions, and may have applications in photonic devices such as topological lasers…

Mesoscale and Nanoscale Physics · Physics 2023-11-30 Stephan Wong , Terry A. Loring , Alexander Cerjan

We present a method for characterizing the performance of noisy quantum processors using discrete time crystals. Deviations from ideal persistent oscillatory behavior give rise to numerical scores by which relative quantum processor…

Quantum Physics · Physics 2023-01-19 Victoria Zhang , Paul D. Nation

Topological insulators are solid state systems of independent electrons for which the Fermi level lies in a mobility gap, but the Fermi projection is nevertheless topologically non-trivial, namely it cannot be deformed into that of a normal…

Mathematical Physics · Physics 2016-10-27 Hermann Schulz-Baldes

A global phase diagram of disordered weak and strong topological insulators is established numerically. As expected, the location of the phase boundaries is renormalized by disorder, a feature recognized in the study of the so-called…

Mesoscale and Nanoscale Physics · Physics 2013-06-14 Koji Kobayashi , Tomi Ohtsuki , Ken-Ichiro Imura

In this paper we present a comprehensive analysis of the coherence phenomenon of two coupled dissipative oscillators. The action of a classical driving field on one of the oscillators is also analyzed. Master equations are derived for both…

Quantum Physics · Physics 2007-05-23 M. A. de Ponte , M. C. de Oliveira , M. H. Y. Moussa

Topological Insulators (TIs) are unique materials where insulating bulk hosts linearly dispersing surface states protected by the Time-Reversal Symmetry (TRS). These states lead to dissipationless current flow, which makes this class of…

Materials Science · Physics 2022-05-19 Ankita Phutela , Preeti Bhumla , Manjari Jain , Saswata Bhattacharya

We investigate quantum tomography in scenarios where prior information restricts the state space to a smooth manifold of lower dimensionality. By considering stability we provide a general framework that relates the topology of the manifold…

Quantum Physics · Physics 2015-06-17 Michael Kech , Péter Vrana , Michael Wolf

Quantum oscillations in magnetization or resistivity are a defining feature of metals subject to an external magnetic field. The phenomenon is generally not expected in insulators without a Fermi surface. The observations of quantum…

Mesoscale and Nanoscale Physics · Physics 2025-01-30 Phuong X. Nguyen , Raghav Chaturvedi , Bo Zou , Kenji Watanabe , Takashi Taniguchi , Allan H. MacDonald , Kin Fai Mak , Jie Shan

The recently discovered three dimensional or bulk topological insulators are expected to exhibit exotic quantum phenomena. It is believed that a trivial insulator can be twisted into a topological state by modulating the spin-orbit…

Mesoscale and Nanoscale Physics · Physics 2011-10-24 Su-Yang Xu , Y. Xia , L. A. Wray , D. Qian , Shuang Jia , J. H. Dil , F. Meier , J. Osterwalder , B. Slomski , H. Lin , R. J. Cava , M. Z. Hasan

Sensitivity to noise makes most of the current quantum computing schemes prone to error and nonscalable, allowing only for small proof-of-principle devices. Topologically-protected quantum computing aims at solving this problem by encoding…

Disordered Systems and Neural Networks · Physics 2013-12-17 Helmut G. Katzgraber , Ruben S. Andrist

Topological orders can be used as media for topological quantum computing --- a promising quantum computation model due to its invulnerability against local errors. Conversely, a quantum simulator, often regarded as a quantum computing…

Strongly Correlated Electrons · Physics 2017-03-01 Keren Li , Yidun Wan , Ling-Yan Hung , Tian Lan , Guilu Long , Dawei Lu , Bei Zeng , Raymond Laflamme

Identifying topological insulators and semimetals often focuses on their surface states, using spectroscopic methods such as angle-resolved photoemission spectroscopy or scanning tunneling microscopy. In contrast, studying the topological…

Mesoscale and Nanoscale Physics · Physics 2018-07-24 Yiyuan Chen , Hai-Zhou Lu , X. C. Xie

A quantum phase transition is usually achieved by tuning physical parameters in a Hamiltonian at zero temperature. Here, we demonstrate that the ground state of a topological phase itself encodes critical properties of its transition to a…

Strongly Correlated Electrons · Physics 2014-09-10 Timothy H. Hsieh , Liang Fu

Kondo insulators are particularly simple type of heavy electron material, where a filled band of heavy quasiparticles gives rise to a narrow band insulator. Starting with the Anderson lattice Hamiltonian, we develop a topological…

Strongly Correlated Electrons · Physics 2013-05-29 Maxim Dzero , Kai Sun , Victor Galitski , Piers Coleman

The recently introduced classification of two-dimensional insulators in terms of topological crystalline invariants has been applied so far to "obstructed" atomic insulators characterized by a mismatch between the centers of the electronic…