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The longstanding question of how stochastic behaviour arises from deterministic Hamiltonian dynamics is of great importance, and any truly holistic theory must be capable of describing this transition. In this review, we introduce the…

统计力学 · 物理学 2020-12-02 Gerard McCaul , Denys I. Bondar

In this paper, we analyze the dynamics of quantum walks on a graph structure resulting from the integration of a main connected graph $G$ and a secondary connected graph $G'$. This composite graph is formed by a disjoint union of $G$ and…

量子物理 · 物理学 2024-02-14 Taisuke Hosaka , Renato Portugal , Etsuo Segawa

We show that weak measurements can induce a quantum phase transition of interacting many-body systems from an ergodic thermal phase with a large entropy to a nonergodic localized phase with a small entropy, but only if the measurement…

统计力学 · 物理学 2019-09-04 Marcin Szyniszewski , Alessandro Romito , Henning Schomerus

When a quantum mechanical system undergoes an adiabatic cyclic evolution it acquires a geometrical phase factor in addition to the dynamical one. This effect has been demonstrated in a variety of microscopic systems. Advances in…

介观与纳米尺度物理 · 物理学 2009-10-31 Giuseppe Falci , Rosario Fazio , G. Massimo Palma , Jens Siewert , Vlatko Vedral

The geometry of quantum states could offer indispensable insights for characterizing the topological properties, phase transitions and entanglement nature of many-body systems. In this work, we reveal the quantum geometry and the associated…

量子物理 · 物理学 2024-08-16 Longwen Zhou

Pure-state manifestations of geometric phase are well established and have found applications across essentially all branches of physics, yet their generalization to mixed-state regimes remains largely unexplored experimentally. The Uhlmann…

量子物理 · 物理学 2026-01-01 Qin-Qin Wang , Xiao-Ye Xu , Yong-Jian Han , Chuan-Feng Li , Guang-Can Guo

The quantum geometric tensor, composed of the quantum metric tensor and Berry curvature, fully encodes the parameter space geometry of a physical system. We first provide a formulation of the quantum geometrical tensor in the path integral…

量子物理 · 物理学 2023-08-16 Sergio B. Juárez , Diego Gonzalez , Daniel Gutiérrez-Ruiz , J. David Vergara

We have analysed here the role of the geometric phase in dynamical mechanism of quantum phase transition in the transverse Ising model. We have investigated the system when it is driven at a fixed rate characterized by a quench time…

强关联电子 · 物理学 2015-05-19 B. Basu , P. Bandyopadhyay

We study the dynamics of quantum excitations inside macromolecules which can undergo conformational transitions. In the first part of the paper, we use the path integral formalism to rigorously derive a set of coupled equations of motion…

软凝聚态物质 · 物理学 2015-06-04 L. Boninsegna , P. Faccioli

The task of finding optimal protocols that minimize the energetic cost of thermodynamic processes of long yet finite duration $\tau$ is a pressing one. We approach this problem here in a rigorous and systematic fashion by means of the…

统计力学 · 物理学 2022-11-28 Artur Soriani , Eduardo Miranda , Marcus V. S. Bonança

We show using a realistic Hamiltonian-type model that definite outcomes of quantum measurements may emerge from quantum evolution of pure states, i.e quantum dynamics provides a deterministic collapse of the wavefunction in a quantum…

量子物理 · 物理学 2008-09-10 Håkon Brox , Kåre Olaussen , Anh Kiet Nguyen

Quantum walks underlie an important class of quantum computing algorithms, and represent promising approaches in various simulations and practical applications. Here we design stroboscopically monitored quantum walks and their subsequent…

量子物理 · 物理学 2022-09-27 Quancheng Liu , David A. Kessler , Eli Barkai

We investigate the continuous quantum measurement of a superconducting qubit undergoing fluorescence. The fluorescence of the qubit is detected via a phase-preserving heterodyne measurement, giving the fluorescence quadrature signals as two…

量子物理 · 物理学 2016-08-23 Andrew N. Jordan , Areeya Chantasri , Pierre Rouchon , Benjamin Huard

The geometric phase stands as a foundational concept in quantum physics, revealing deep connections between geometric structures and quantum dynamical evolution. Unlike dynamical phases, geometric phases exhibit intrinsic resilience to…

量子物理 · 物理学 2025-12-03 Zheng-Yuan Xue , Cheng-Yun Ding

The quantum walk is a dynamical protocol which describes the motion of spinful particles on a lattice. Also, it has been demonstrated to be a powerful platform to explore topological quantum matter. Recently, the quantum walk in coherent…

量子物理 · 物理学 2018-09-19 Zi-Yong Ge , Heng Fan

High-fidelity quantum gates are an essential prerequisite for large-scale quantum computation. When manipulating practical quantum systems, environmentally and operationally induced errors are inevitable, and thus, in addition to being…

量子物理 · 物理学 2024-06-28 Yan Liang , Zheng-Yuan Xue

Quantum manipulation based on geometric phases provides a promising way towards robust quantum gates. However, in the current implementation of nonadiabatic geometric phases, operational and/or random errors tend to destruct the conditions…

量子物理 · 物理学 2021-03-17 Jian Zhou , Sai Li , Guo-Zhu Pan , Gang Zhang , Tao Chen , Zheng-Yuan Xue

This paper provides a stabilizing preparation method for quantum Gaussian states by utilizing continuous measurement. The stochastic evolution of the open quantum system is described in terms of the quantum stochastic master equation. We…

量子物理 · 物理学 2021-09-28 Liying Bao , Bo Qi , Daoyi Dong

We experimentally demonstrate a controlled-phase gate for continuous variables in a fully measurement-based fashion. In our scheme, the two independent input states of the gate, encoded in two optical modes, are teleported into a four-mode…

量子物理 · 物理学 2012-01-30 Ryuji Ukai , Shota Yokoyama , Jun-ichi Yoshikawa , Peter van Loock , Akira Furusawa

Many paradoxes of quantum mechanics come from the fact that a quantum system can possess different features at the same time, such as in wave-particle duality or quantum superposition. In recent delayed-choice experiments, a quantum…

量子物理 · 物理学 2013-10-01 Youn-Chang Jeong , Carlo Di Franco , Hyang-Tag Lim , M. S. Kim , Yoon-Ho Kim