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The quantum Zeno effect is well-known for fixing a system to an eigenstate by frequent measurements. It is also known that applying frequent unitary pulses induces a Zeno subspace that can also pin the system to an eigenspace. Both…

Quantum Physics · Physics 2021-09-13 Yi-Hsiang Chen

We discuss the implications of finite size effects on the determination of the order of a phase transition which may occur in infinite systems. We introduce a specific model to which we apply different tests. They are aimed to characterise…

Nuclear Theory · Physics 2009-10-31 J. M. Carmona , N. Michel , J. Richert , P. Wagner

The dynamics of a quantum system undergoing frequent "measurements", leading to the so-called quantum Zeno effect, is examined on the basis of a neutron-spin experiment recently proposed for its demonstration. When the spatial degrees of…

Quantum Physics · Physics 2009-10-31 Ken Machida , Hiromichi Nakazato , Saverio Pascazio , Helmut Rauch , Sixia Yu

Systems brought out of equilibrium through a rapid quench from a disordered initial state into an ordered phase undergo physical aging in the form of phase-ordering kinetics, with characteristic dynamical scaling. In many systems, notably…

Statistical Mechanics · Physics 2025-01-10 Henrik Christiansen , Suman Majumder , Wolfhard Janke , Malte Henkel

When the interaction of a quantum system with a detector is changing from weak to strong coupling limits, the system experiences a transition from the regime with quantum mechanical coherent oscillations to the regime with a frozen…

Mesoscale and Nanoscale Physics · Physics 2015-06-17 Fuxiang Li , Jie Ren , Nikolai A. Sinitsyn

We study the quantum Zeno effect in quantum statistical mechanics within the operator algebraic framework. We formulate a condition for the appearance of the effect in W*-dynamical systems, in terms of the short-time behaviour of the…

Mathematical Physics · Physics 2009-11-07 Andreas U. Schmidt

The study of quantum phase transitions requires the preparation of a many-body system near its ground state, a challenging task for many experimental systems. The measurement of quench dynamics, on the other hand, is now a routine practice…

Quantum Physics · Physics 2019-09-13 Paraj Titum , Joseph T. Iosue , James R. Garrison , Alexey V. Gorshkov , Zhe-Xuan Gong

Recent experiments have demonstrated single-site resolved observation of cold atoms in optical lattices. Thus, in the future it may be possible to take repeated snapshots of an interacting quantum many-body system during the course of its…

Quantum Gases · Physics 2012-01-13 Stefan Kessler , Andreas Holzner , Ian P. McCulloch , Jan von Delft , Florian Marquardt

Using free-fermionic techniques we study the entanglement entropy of a block of contiguous spins in a large finite quantum Ising chain in a transverse field, with couplings of different types: homogeneous, periodically modulated and random.…

Statistical Mechanics · Physics 2009-11-13 Ferenc Igloi , Yu-Cheng Lin

In this paper, we show that the quantum Zeno effect occurs for any frequent quantum measurements or operations. As a result of the Zeno effect, for non-selective measurements (or trace preserving completely positive maps), the evolution of…

Quantum Physics · Physics 2015-03-24 Ying Li , David Herrera-Marti , Leong Chuan Kwek

Classical phase transitions, like solid-liquid-gas or order-disorder spin magnetic phases, are all driven by thermal energy fluctuations by varying the temperature. On the other hand, quantum phase transitions happen at absolute zero…

Quantum Physics · Physics 2024-03-13 Sabre Kais

Frequent applications of a mixing quantum operation to a quantum system slow down its time evolution and eventually drive it into the invariant subspace of the named operation. We prove this phenomenon, the quantum Zeno effect, and its…

Quantum Physics · Physics 2024-09-11 Robert Salzmann

Quantum Zeno effect shows that frequent observations can slow down or even stop the unitary time evolution of an unstable quantum system. This effect can also be regarded as a physical consequence of the the statistical indistinguishability…

Quantum Physics · Physics 2015-06-26 Yu-Ran Zhang , Heng Fan

The influence of repeated projective measurements on the dynamics of the state of a quantum system is studied in dependence of the time lag $\tau$ between successive measurements. In the limit of infinitely many measurements of the…

Quantum Physics · Physics 2012-02-16 Juyeon Yi , Peter Talkner , Gert-Ludwig Ingold

Within quantum information, many methods have been proposed to avoid or correct the deleterious effects of the environment on a system of interest. In this work, expanding on our earlier paper [G. A. Paz-Silva et al., Phys. Rev. Lett. 108,…

Quantum Physics · Physics 2014-02-26 Jason M. Dominy , Gerardo A. Paz-Silva , A. T. Rezakhani , D. A. Lidar

The problem of the time of arrival of a quantum system in a specified state is considered in the framework of the repeated measurement protocol and in particular the limit of continuous measurements is discussed. It is shown that for a…

Quantum Physics · Physics 2021-04-07 Varun Dubey , Cedric Bernardin , Abhishek Dhar

In studies of the quantum Zeno and anti-Zeno effects, it is usual to consider rapid projective measurements with equal time intervals being performed on the system to check whether or not the system is in the initial state. These projective…

Quantum Physics · Physics 2018-08-27 Mehwish Majeed , Adam Zaman Chaudhry

Validity of modified finite-size scaling above the upper critical dimension is demonstrated for the quantum phase transition whose dynamical critical exponent is $z=2$. We consider the $N$-component Bose-Hubbard model, which is exactly…

Statistical Mechanics · Physics 2010-01-27 Yasuyuki Kato , Naoki Kawashima

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…

Statistical Mechanics · Physics 2019-09-04 Marcin Szyniszewski , Alessandro Romito , Henning Schomerus

Non-equilibrium dynamics of many-body quantum systems under the effect of measurement protocols is attracting an increasing amount of attention. It has been recently revealed that measurements may induce an abrupt change in the scaling-law…

Statistical Mechanics · Physics 2022-03-23 Michele Coppola , Emanuele Tirrito , Dragi Karevski , Mario Collura