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We investigate continuous-time quantum walks of two indistinguishable particles [bosons, fermions or hard-core bosons (HCBs)] in one-dimensional lattices with nearest-neighbor interactions. The results for two HCBs are well consistent with…

Quantum Physics · Physics 2014-12-09 Xizhou Qin , Yongguan Ke , Xiwen Guan , Zhibing Li , Natan Andrei , Chaohong Lee

In a previous paper (Krumm and Vogel 2018 Phys. Rev. A 97, 043806) we presented a method to solve the nonlinear Jaynes-Cummings dynamics, describing the quantized motion of a trapped ion exactly, including detuning. Here we investigate this…

Quantum Physics · Physics 2019-06-11 Fabian Krumm , Werner Vogel

Motivated by the search for a quantum analogue of the macroscopic fluctuation theory, we study quantum spin chains dissipatively coupled to quantum noise. The dynamical processes are encoded in quantum stochastic differential equations.…

Statistical Mechanics · Physics 2018-04-20 Michel Bauer , Denis Bernard , Tony Jin

In this thesis we consider primarily the dynamics of quantum systems subjected to continuous observation. In the Schr\"{o}dinger picture the evolution of a continuously monitored quantum system, referred to as a `quantum trajectory', may be…

Quantum Physics · Physics 2009-09-25 K. Jacobs

First return maps of interspike intervals for biological neurons that generate repetitive bursts of impulses can display stereotyped structures (neuronal signatures). Such structures have been linked to the possibility of multicoding and…

Neurons and Cognition · Quantitative Biology 2015-06-22 Bóris Marin , Reynaldo Daniel Pinto , Robert C Elson , Eduardo Colli

Noise is ubiquitous in real quantum systems, leading to non-Hermitian quantum dynamics, and may affect the fundamental states of matter. Here we report in experiment a quantum simulation of the two-dimensional non-Hermitian quantum…

Quantum Physics · Physics 2022-07-01 Zidong Lin , Lin Zhang , Xinyue Long , Yu-ang Fan , Yishan Li , Kai Tang , Jun Li , XinFang Nie , Tao Xin , Xiong-Jun Liu , Dawei Lu

We investigate quantum work statistics within the standard two-point measurement (TPM) scheme in continuously monitored quantum systems, including the effects of generalized unitary evolution, possibly controlled by quantum circuit models,…

Quantum Physics · Physics 2026-01-22 Manali Malakar , Alessandro Silva

A central feature of quantum metrology is the possibility of Heisenberg scaling, a quadratic improvement over the limits of classical statistics. This scaling, however, is notoriously fragile to noise. While for some noise types it can be…

Quantum Physics · Physics 2022-06-08 Giulio Chiribella , Xiaobin Zhao

Quantum metrology promises precision beyond classical limits, yet environmental noise typically degrades the quantum resources required for such enhancement. In this work, we investigate frequency estimation in noisy continuous-variable…

Quantum Physics · Physics 2026-05-08 Ayan Patra , Manju , Aditi Sen De , Matteo G. A. Paris

We characterize nonequilibrium phases in long-range dissipative spin systems through the statistical properties of quantum jump trajectories. While the average dynamics governed by the Lindblad master equation provides access to…

Quantum Physics · Physics 2026-05-14 Giulia Salatino , Anna Delmonte , Zejian Li , Rosario Fazio , Alberto Biella

The large deviation theory has recently been applied to open quantum systems to uncover dynamical crossovers in the space of quantum trajectories associated to Markovian evolutions. Such dynamical crossovers are characterized by qualitative…

Quantum mechanics can strongly influence the noise properties of mesoscopic devices. To probe this effect we have measured the current fluctuations at high-frequency (5-90G Hz) using a superconductor-insulator-superconductor tunnel junction…

Disordered Systems and Neural Networks · Physics 2007-05-23 R. Deblock , E. Onac , L. Gurevich , L. P. Kouwenhoven

With microwave irradiation, the switching current of a Josephson junction coupled to a microscopic two-level system jumps randomly between two discrete states. We modeled the switching process of the coupled system with quantum jump…

Quantum Physics · Physics 2015-05-13 Xueda Wen , Yiwen Wang , Ning Dong , Guozhu Sun , Jian Chen , Lin Kang , Weiwei Xu , Peiheng Wu , Yang Yu

"Quantum trajectories" are solutions of stochastic differential equations of non-usual type. Such equations are called "Belavkin" or "Stochastic Schr\"odinger Equations" and describe random phenomena in continuous measurement theory of Open…

Probability · Mathematics 2015-05-13 Clement Pellegrini

We propose a quantum nondemolition measurement using a kicked two-state system (qubit). By tuning the waiting time between kicks to be the qubit oscillation period, the kicking apparatus performs a nondemolition measurement. While dephasing…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 Andrew N. Jordan , Markus Buttiker

Noisy monitored quantum circuits have emerged as a versatile and unifying framework connecting quantum many-body physics, quantum information, and quantum computation. In this review, we provide a comprehensive overview of recent advances…

Quantum Physics · Physics 2026-05-28 Shuo Liu , Shao-Kai Jian , Shi-Xin Zhang

We consider a quantum particle on a one dimensional lattice subject to weak local measurements and study its stochastic dynamics conditioned on the measurement outcomes. Depending on the measurement strength our analysis of the quantum…

Quantum Physics · Physics 2016-06-22 Ralf Blattmann , Klaus Mølmer

We describe a measurement device principle based on discrete iterations of Bayesian updating of system state probability distributions. Although purely classical by nature, these measurements are accompanied with a progressive collapse of…

Mathematical Physics · Physics 2015-06-11 Michel Bauer , Denis Bernard , Tristan Benoist

We theoretically study the measurement-induced dephasing caused by back action noise in quantum nondemolition measurements of a superconducting flux qubit which is coupled to a superconducting quantum interference device (SQUID). Our…

Quantum Physics · Physics 2015-05-20 Wei Jiang , Yang Yu , Lianfu Wei

The lifetime of a metastable state in the transient dynamics of an overdamped Brownian particle is analyzed, both in terms of the mean first passage time and by means of the mean growth rate coefficient. Both quantities feature non…

Statistical Mechanics · Physics 2009-11-11 A. Fiasconaro , B. Spagnolo , S. Boccaletti
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