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Quantum groups have a long and fruitful history of applications in integrable systems. Can quantum group symmetries exist in the absence of integrability? We provide an explicit example of a system with quantum group global symmetry which…

高能物理 - 理论 · 物理学 2026-01-27 Victor Gorbenko , Aleksandr Zhabin

Transmon qubits arise from the quantization of nonlinear resonators, systems that are prone to the buildup of strong, possibly chaotic, fluctuations. Such instabilities will likely affect fast gate operations which involve the transient…

We show that quantum computation can be performed in a system at thermal equilibrium if a spontaneous symmetry breaking occurs. The computing process is associated to the time evolution of the statistical average of the qubit coherence…

统计力学 · 物理学 2007-05-23 F. de Pasquale , S. M. Giampaolo

The aim of this article is to give a pedagogical introduction to the exact equilibrium and nonequilibrium properties of free fermionic quantum spin chains. In a first part we present in full details the canonical diagonalisation procedure…

统计力学 · 物理学 2007-05-23 Dragi Karevski

We develop new routing algorithms for a quantum network with noisy quantum devices such that each can store a small number of qubits. We thereby consider two models for the operation of such a network. The first is a continuous model, in…

量子物理 · 物理学 2019-07-29 Kaushik Chakraborty , Filip Rozpedek , Axel Dahlberg , Stephanie Wehner

Quantum systems are often described by parameter-dependent Hamiltonians. Points in parameter space where two levels are degenerate can carry a topological charge. Here we theoretically study an interacting two-spin system where the…

介观与纳米尺度物理 · 物理学 2022-02-03 György Frank , Dániel Varjas , Péter Vrana , Gergő Pintér , András Pályi

Autonomous randomly coupled neural networks display a transition to chaos at a critical coupling strength. We here investigate the effect of a time-varying input on the onset of chaos and the resulting consequences for information…

神经元与认知 · 定量生物学 2018-11-21 Jannis Schuecker , Sven Goedeke , Moritz Helias

We determine the conditions under which topological order survives a rapid quantum quench. Specifically, we consider the case where a quantum spin system is prepared in the ground state of the Toric Code Model and, after the quench, it…

量子物理 · 物理学 2009-12-08 D. I. Tsomokos , A. Hamma , W. Zhang , S. Haas , R. Fazio

Quantum spin networks having engineered geometries and interactions are eagerly pursued for quantum simulation and access to emergent quantum phenomena such as spin liquids. Spin-1/2 centers are particularly desirable because they readily…

We present experimental and numerical results for the long-range fluctuation properties in the spectra of quantum graphs with chaotic classical dynamics and preserved time-reversal invariance. Such systems are generally believed to provide…

混沌动力学 · 物理学 2017-05-10 Barbara Dietz , Vitalii Yunko , Malgorzata Bialous , Szymon Bauch , Michal Lawniczak , Leszek Sirko

In this work, an analysis of the performance of different Variational Quantum Circuits is presented, investigating how it changes with respect to entanglement topology, adopted gates, and Quantum Machine Learning tasks to be performed. The…

量子物理 · 物理学 2025-09-22 Marco Mordacci , Michele Amoretti

We present a perception model of ambiguous patterns based on the chaotic neural network and investigate the characteristics through computer simulations. The results induced by the chaotic activity are similar to those of psychophysical…

混沌动力学 · 物理学 2007-05-23 Natsuki Nagao , Haruhiko Nishimura , Nobuyuki Matsui

We examine dynamic structure factors of spin-1/2 chains with nearest-neighbor interactions of XX and Dzyaloshinskii-Moriya type, and with periodic and random changes in the sign of these interactions. This special kind of inhomogeneity can…

强关联电子 · 物理学 2008-02-05 Taras Verkholyak , Oleg Derzhko , Taras Krokhmalskii , Joachim Stolze

The transition to turbulence via spatiotemporal intermittency is investigated in the context of coupled maps defined on small-world networks. The local dynamics is given by the Chat\'e-Manneville minimal map previously used in studies of…

混沌动力学 · 物理学 2009-11-07 M. G. Cosenza , K. Tucci

We investigate the tunneling process between two symmetric stable islands of a forced pendulum Hamiltonian in the weak chaos regime. We show that when the tunneling doublet is quantized over a classical non-linear resonance the tunneling…

chao-dyn · 物理学 2009-10-31 Luca Bonci , Andrea Farusi , Paolo Grigolini , Roberto Roncaglia

Artificial Intelligence (AI), with its multiplier effect and wide applications in multiple areas, could potentially be an important application of quantum computing. Since modern AI systems are often built on neural networks, the design of…

量子物理 · 物理学 2024-09-27 Peiyong Wang , Casey. R. Myers , Lloyd C. L. Hollenberg , Udaya Parampalli

We present a theoretical analysis of the capacitance of a double quantum dot in the charge and spin qubit configurations probed at high-frequencies. We find that in general the total capacitance of the system consists of two state-dependent…

介观与纳米尺度物理 · 物理学 2017-01-25 R. Mizuta , R. M. Otxoa , A. C. Betz , M. F. Gonzalez-Zalba

We consider sudden quenches across quantum phase transitions in the $S=1$ XXZ model starting from the Haldane phase. We demonstrate that dynamical phase transitions may occur during these quenches that are identified by nonanalyticities in…

统计力学 · 物理学 2019-07-02 I. Hagymási , C. Hubig , Ö. Legeza , U. Schollwöck

We study the effect of mesoscopic fluctuations on the magnitude of errors that can occur in exchange operations on quantum dot spin-qubits. Mid-size double quantum dots, with an odd number of electrons in the range of a few tens in each…

介观与纳米尺度物理 · 物理学 2007-05-23 Serguei Vorojtsov , Eduardo R. Mucciolo , Harold U. Baranger

We present a quantum averaging theory (QAT) for analytically modeling unitary gate dynamics in driven quantum systems beyond the rotating-wave approximation. QAT addresses the simultaneous presence of distinct timescales by generating a…

量子物理 · 物理学 2026-01-05 Kristian D. Barajas , Wesley C. Campbell