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Related papers: Topological Transitions in a Kerr Nonlinear Oscill…

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We study a quantum phase transition between a phase which is topologically ordered and one which is not. We focus on a spin model, an extension of the toric code, for which we obtain the exact ground state for all values of the coupling…

Strongly Correlated Electrons · Physics 2009-09-29 C. Castelnovo , C. Chamon

A one-dimensional quantum oscillator is monitored by taking repeated position measurements. As a first con- tribution, it is shown that, under a quantum nondemolition measurement scheme applied to a system initially at the ground state, (i)…

Quantum Physics · Physics 2015-11-13 Vincenzo Matta , Vincenzo Pierro

We study the role of the quantum geometric tensor (QGT) in the evolution of quantum systems. We show that all its components play an important role on the extra phase acquired by a spinor and on the trajectory of an accelerated wavepacket…

Mesoscale and Nanoscale Physics · Physics 2018-07-18 O. Bleu , G. Malpuech , D. D. Solnyshkov

Robust zero modes supported by defects is one of the key features of topological matter. Its presence renders a system topologically inhomegeneuous, thus having no well-defined global topological invariant. The quantities labeling different…

Statistical Mechanics · Physics 2023-12-27 Diana B. Golovanova , Alexander R. Yavorsky , Anton A. Markov , Alexey N. Rubtsov

Timing analyses of accreting black holes often package nodal information in ways that depend on benign choices of time and azimuthal convention. We identify the corresponding pipeline-invariant content for slightly tilted circular rings and…

General Relativity and Quantum Cosmology · Physics 2026-05-06 Mehmet Baran Ökten

Programmable quantum processors are suitable platforms for simulating quantum systems, of which topological phases are of particular interest. We simulate the quench dynamics of a one-dimensional system on IBM Q devices. The topological…

Mesoscale and Nanoscale Physics · Physics 2022-01-03 Huai-Chun Chang , Hsiu-Chuan Hsu

Topological phases exhibit a plethora of striking phenomena including disorder-robust localization and propagation of waves of various nature. Of special interest are the transitions between the different topological phases which are…

Nodal planes, two-dimensional symmetry-enforced band crossings, can carry a topological charge, similar to Weyl points. While the transport properties of Weyl points are well understood, those of nodal planes remain largely unexplored.…

Mesoscale and Nanoscale Physics · Physics 2025-09-04 Raymond Wiedmann , Kirill Alpin , Moritz M. Hirschmann , Andreas P. Schnyder

Recent experimental evidence for the quantum spin Hall (QSH) state in monolayer WTe$_2$ has bridged two of the most active fields of condensed matter physics, 2D materials and topological physics. This 2D topological crystal also displays…

Quantum annealing (QA) is an algorithm to find the ground state of the problem Hamiltonian by using an adiabatic time evolution. An approach to evaluate adiabaticity in the experiment by applying spectroscopic techniques has recently been…

Quantum Physics · Physics 2024-08-20 Yuichiro Mori , Harunobu Hiratsuka , Yuichiro Matsuzaki

Manifesting across all time, mass and length scales, nonlinearities lie at the core of numerous physical phenomena. Next-generation quantum applications, such as quantum sensing, require the combination of nonlinearity with non-classical…

Quantum Physics · Physics 2026-03-12 Shivangi Dhiman , K. Rubenbauer , T. Luschmann , A. Marx , A. Metelmann , H. Huebl

This work brings forward an alternative experimental approach to infer the topological character of phase transitions in insulators. This method relies on subjecting the target system to a set of external fields, each of which consists of…

Mesoscale and Nanoscale Physics · Physics 2021-12-08 Panagiotis Kotetes

Berry curvature-related topological phenomena have been a central topic in condensed matter physics. Yet, until recently other quantum geometric quantities such as the metric and connection received only little attention due to the…

Mesoscale and Nanoscale Physics · Physics 2025-07-08 Yiyang Jiang , Tobias Holder , Binghai Yan

The holonomic approach to controlling (nitrogen-vacancy) NV-center qubits provides an elegant way of theoretically devising universal quantum gates that operate on qubits via calculable microwave pulses. There is, however, a lack of…

Quantum Physics · Physics 2022-02-17 Shaman Bhattacharyya , Somnath Bhattacharyya

There has been growing excitement over the possibility of employing artificial neural networks (ANNs) to gain new theoretical insight into the physics of quantum many-body problems. ``Interpretability'' remains a concern: can we understand…

Disordered Systems and Neural Networks · Physics 2020-12-08 Yi Zhang , Paul Ginsparg , Eun-Ah Kim

We investigate the impact of a finite response time of Kerr nonlinearities over the onset of spontaneous oscillations (self-pulsing) occurring in a nanocavity. The complete characterization of the underlying Hopf bifurcation in the full…

We establish a set of nonequilibrium quantum phase transitions in the Dicke model by considering a monochromatic nonadiabatic modulation of the atom-field coupling. For weak driving the system exhibits a set of sidebands which allow the…

Quantum Physics · Physics 2012-01-31 V. M. Bastidas , C. Emary , B. Regler , T. Brandes

Parametric oscillators are examples of externally driven systems that can exhibit two stable states with opposite phase depending on the initial conditions. In this work, we propose to study what happens when the external forcing is…

Pattern Formation and Solitons · Physics 2024-02-13 Benjamin Apffel , Romain Fleury

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…

It is well known that a nontrivial Chern number results in quantized Hall conductance. What is less known is that, generically, the Hall response can be dramatically different from its quantized value in materials with broken inversion…

Mesoscale and Nanoscale Physics · Physics 2026-01-21 Fang Qin , Rui Chen , Ching Hua Lee