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We consider the ground-state properties of the s=1/2 Ising chain in a transverse field which varies regularly along the chain having a period of alternation 2. Such a model, similarly to its uniform counterpart, exhibits quantum phase…

Statistical Mechanics · Physics 2007-05-23 Oleg Derzhko , Taras Krokhmalskii

We provide a new perspective on quantum dynamical phase transitions (DPTs) by explaining their origin in terms of caustics that form in the Fock space representation of the many-body state over time, using the fully connected transverse…

Quantum Physics · Physics 2024-10-22 Valentin Link , Walter T. Strunz , D. H. J. O'Dell

The emergence of chaotic phenomena in a quantum system has long been an elusive subject. Experimental progresses in this subject have become urgently needed in recent years, when considerable theoretical studies have unveiled the vital…

Disordered Systems and Neural Networks · Physics 2018-10-03 Clément Hainaut , Ping Fang , Adam Rançon , Jean-François Clément , Pascal Szriftgiser , Jean Claude Garreau , Chushun Tian , Radu Chicireanu

The Rabi model, a two-level atom coupled to a harmonic oscillator, can undergo a second-order quantum phase transition (QPT) [M. -J. Hwang et al, Phys. Rev. Lett. 115, 180404 (2015)]. Here we show that the Rabi QPT accompanies critical…

Quantum Physics · Physics 2016-08-24 Ricardo Puebla , Myung-Joong Hwang , Martin B. Plenio

Quantum coherence will undoubtedly play a fundamental role in understanding of the dynamics of quantum many-body systems, thereby to reveal its genuine contribution is of great importance. In this paper, we specialize our discussions to the…

Quantum Physics · Physics 2024-01-12 Bao-Ming Xu , Chao-Quan Wang

Understanding the behavior of quantum many-body systems under decoherence is essential for developing robust quantum technologies. Here, we examine the fate of weak ergodicity breaking in systems hosting quantum many-body scars when subject…

Quantum Physics · Physics 2025-10-10 Jin-Lou Ma , Zexian Guo , Yu Gao , Zlatko Papić , Lei Ying

The precision of quantum sensing could be improved by exploiting quantum phase transitions, where the physical quantity tends to diverge when the system approaches the quantum critical point. This critical enhancement phenomenon has been…

Quantum Physics · Physics 2024-02-27 Shao-Bo Tang , Hao Qin , D. -Y. Wang , Kaifeng Cui , S. -L. Su , L. -L. Yan , Gang Chen

It is shown that bifurcations of the mean-field dynamics of a Bose-Einstein condensate can be related with the quantum phase transitions of the original many-body system. As an example we explore the intra-band tunneling in the…

Other Condensed Matter · Physics 2009-11-13 V. S. Shchesnovich , V. V. Konotop

The quantum and classical dynamics of particles kicked by a gaussian attractive potential are studied. Classically, it is an open mixed system (the motion in some parts of the phase space is chaotic, and in some parts it is regular). The…

Quantum Physics · Physics 2013-08-30 Yevgeny Krivolapov , Shmuel Fishman , Edward Ott , Thomas M. Antonsen

Dynamical quantum phase transitions occur in dynamically evolving quantum systems when non-analyticities occur at critical times in the return rate, a dynamical analogue of the free energy. This extension of the concept of phase transitions…

Mesoscale and Nanoscale Physics · Physics 2023-11-10 T. Masłowski , N. Sedlmayr

A simple relationship between recently proposed measures of non-Markovianity and the Loschmidt echo is established, holding for a two-level system (qubit) undergoing pure dephasing due to a coupling with a many-body environment. We show…

Quantum Physics · Physics 2012-06-14 Pinja Haikka , John Goold , Suzanne McEndoo , Francesco Plastina , Sabrina Maniscalco

We propose that in the presence of an Ohmic, de-phasing type environment, a two-level-cavity system undergoes a quantum phase transition from a state with damped Rabi oscillation to a state without. We present the phase diagram and make…

Materials Science · Physics 2007-05-23 Chang-Qin Wu , Jian-Xin Li , Dung-Hai Lee

Using tensor network methods, we simulate the real-time evolution of the lattice Thirring model quenched out of equilibrium in both the critical and massive phases and study the appearance of dynamical quantum phase transitions, as…

High Energy Physics - Lattice · Physics 2025-06-25 Mari Carmen Bañuls , Krzysztof Cichy , Hao-Ti Hung , Ying-Jer Kao , C. -J. David Lin , Amit Singh

A string of repulsively interacting particles exhibits a phase transition to a zigzag structure, by reducing the transverse trap potential or the interparticle distance. The transition is driven by transverse, short wavelength vibrational…

Statistical Mechanics · Physics 2013-10-30 Pietro Silvi , Gabriele De Chiara , Tommaso Calarco , Giovanna Morigi , Simone Montangero

We investigate the quantum phases of systems in which a multimode bosonic field is coupled to the transitions between two flat electronic bands. In the literature, such systems are usually modeled using a single or multimode Dicke model,…

Quantum Physics · Physics 2013-04-18 Simone De Liberato , Cristiano Ciuti

In quantum dynamics, the Loschmidt amplitude is analogous to the partition function in the canonical ensemble. Zeros in the partition function indicate a phase transition, while the presence of zeros in the Loschmidt amplitude indicates a…

Quantum Physics · Physics 2025-04-10 Mingtao Xu , Wei Yi , De-Huan Cai

We construct the finite-temperature dynamical phase diagram of the fully connected transverse-field Ising model from the vantage point of two disparate concepts of dynamical criticality. An analytical derivation of the classical dynamics…

Statistical Mechanics · Physics 2018-05-07 Johannes Lang , Bernhard Frank , Jad C. Halimeh

An analysis is presented of the phase transition of the quantum Ising model with transverse field on the d-dimensional hypercubic lattice. It is shown that there is a unique sharp transition. The value of the critical point is calculated…

Mathematical Physics · Physics 2015-05-13 J. E. Björnberg , G. R. Grimmett

We have observed an environmentally induced quantum dynamical phase transition in the dynamics of a two spin experimental swapping gate [J. Chem. Phys. 124, 194507 (2006)]. There, the exchange of the coupled states |+,-> and ,+> gives an…

Mesoscale and Nanoscale Physics · Physics 2007-07-24 Gonzalo A. Alvarez , Patricia R. Levstein , Horacio M. Pastawski

Inspired by the similarity between the fractal Weierstrass function and quantum systems with discrete scaling symmetry, we establish general conditions under which the dynamics of a quantum system will exhibit fractal structure in the time…

Quantum Gases · Physics 2019-06-19 Chao Gao , Hui Zhai , Zhe-Yu Shi
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