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The existence or absence of non-analytic cusps in the Loschmidt-echo return rate is traditionally employed to distinguish between a regular dynamical phase (regular cusps) and a trivial phase (no cusps) in quantum spin chains after a global…

Statistical Mechanics · Physics 2018-07-23 Ingo Homrighausen , Nils O. Abeling , Valentin Zauner-Stauber , Jad C. Halimeh

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 boundary transfer matrix formulation allows to calculate the Loschmidt echo for one-dimensional quantum systems in the thermodynamic limit. We show that non-analyticities in the Loschmidt echo and zeros for the Loschmidt amplitude in the…

Strongly Correlated Electrons · Physics 2014-04-01 F. Andraschko , J. Sirker

Dynamical quantum phase transitions reveal singularities in quench dynamics, characterized by the emergence of Loschmidt echo zeros at critical times, which usually exist only in the thermodynamic limit but are absent in finite-size quantum…

Quantum Physics · Physics 2026-01-07 Zhen-Yu Zheng , Xudong Liu , Siyan Lin , Yu Zhang , Shu Chen

Fundamental phase-shift detection properties of optical multimode interferometers are analyzed. Limits on perfectly distinguishable phase shifts are derived for general quantum states of a given average energy. In contrast to earlier work,…

Quantum Physics · Physics 2008-12-18 Jonas Soderholm , Gunnar Bjork , Bjorn Hessmo , Shuichiro Inoue

Dynamical quantum phase transitions occur when a dynamical free energy becomes non-analytic at critical \emph{times}. They have been shown to exist in, among other systems, topological insulators and superconductors. Additionally in both…

Statistical Mechanics · Physics 2025-08-18 Tomasz Masłowski , Jesko Sirker , Nicholas Sedlmayr

We investigate the spatial and temporal scales of dynamical quantum phase transitions in the one-dimensional Bose-Hubbard model in the strong interaction limit. Using Jordan-Wigner transformation, we obtain the time-dependent wavefunction…

Quantum Gases · Physics 2025-12-15 Jia Li , Yajiang Hao

We investigate an electronic Mach-Zehnder interferometer with high visibility in the quantum Hall regime. The superposition of the electrostatic potentials from a quantum point contact (QPC) and the residual disorder potential from doping…

Mesoscale and Nanoscale Physics · Physics 2015-05-14 L. V. Litvin , A. Helzel , H. -P. Tranitz , W. Wegscheider , C. Strunk

Precision interferometry with atomic wavepackets confined in a one-dimensional optical lattice is an emergent paradigm in quantum sensing of forces and fields, with applications in gravimetry, accelerometry, geophysics, and fundamental…

Quantum Gases · Physics 2026-05-28 Emmett Hough , Tahiyat Rahman , Forest Tschirhart , Subhadeep Gupta

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

The notion of a dynamical quantum phase transition (DQPT) was recently introduced in [Heyl et al., Phys. Rev. Lett. 110, 135704 (2013)] as the non-analytic behavior of the Loschmidt echo at critical times in the thermodynamic limit. In this…

Statistical Mechanics · Physics 2015-09-04 Markus Schmitt , Stefan Kehrein

In quantum metrology and quantum simulation, a coherent non-classical state must be manipulated before unwanted interactions with the environment lead to decoherence. In atom interferometry, the non-classical state is a spatial…

Atomic Physics · Physics 2024-08-19 Cristian D. Panda , Matthew Tao , James Egelhoff , Miguel Ceja , Victoria Xu , Holger Müller

Non-Hermitian quantum mechanics with parity-time (PT) symmetry offers a powerful framework for exploring the complex interplay of dissipation and coherent interactions in open quantum systems. While PT-symmetry breaking has been studied in…

We present experiments measuring an interaction induced phase shift of Rydberg atoms at Stark tuned F\"orster resonances. The phase shift features a dispersive shape around the resonance, showing that the interaction strength and sign can…

Atomic Physics · Physics 2012-03-09 J. Nipper , J. B. Balewski , A. T. Krupp , S. Hofferberth , R. Löw , T. Pfau

In recent years, dynamical phase transitions and out-of-equilibrium criticality have been at the forefront of ultracold gases and condensed matter research. Whereas universality and scaling are established topics in equilibrium quantum…

Quantum Gases · Physics 2021-09-29 Jad C. Halimeh , Maarten Van Damme , Lingzhen Guo , Johannes Lang , Philipp Hauke

Non-equilibrium aspects of the BCS model have fascinated physicists for decades, from the seminal works of Eliashberg to modern realizations in cold atom experiments. The latter scenarios have lead to a great deal of interest in the quench…

Superconductivity · Physics 2021-03-12 Colin Rylands , Victor Galitski

We unveil the role of the long time average of Loschmidt echo in the characterization of nonequilibrium quantum phase transitions by studying sudden quench processes across quantum phase transitions in various quantum systems. While the…

Quantum Physics · Physics 2022-11-08 Bozhen Zhou , Chao Yang , Shu Chen

We develop an analytical approach based on a unitary transformation to investigate S=1/2 antiferromagnetic Heisenberg chains coupled to phonons, and find a new quantum phase transition at zero temperature. Although the usual phase…

Strongly Correlated Electrons · Physics 2015-05-30 Satoru Akiyama , Chitoshi Yasuda

Competing short- and long-range interactions represent distinguished ingredients for the formation of complex quantum many-body phases. Their study is hard to realize with conventional quantum simulators. In this regard, Rydberg atoms…

Quantum Gases · Physics 2024-02-06 Zeki Zeybek , Rick Mukherjee , Peter Schmelcher

We study the canonical problem of a Fermi gas interacting with a weakly repulsive Bose-Einstein condensate at zero temperature. To explore the quantum phases across the full range of boson-fermion interactions, we construct a versatile…

Quantum Gases · Physics 2026-01-21 Sam Foster , Olivier Bleu , Jesper Levinsen , Meera M. Parish