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We consider sudden quenches across quantum phase transitions in the $S=1$ XXZ model starting from the Haldane phase. We demonstrate that dynamical phase transitions may occur during these quenches that are identified by nonanalyticities in…

Statistical Mechanics · Physics 2019-07-02 I. Hagymási , C. Hubig , Ö. Legeza , U. Schollwöck

In this paper, we investigate the dynamical quantum phase transitions appearing in the Loschmidt echo and the time-dependent order parameter of a quantum system of harmonically coupled degenerate bosons as a function of the power-law decay…

Quantum Gases · Physics 2021-02-16 Marvin Syed , Tilman Enss , Nicolò Defenu

We investigate the robustness of a dynamical phase transition against quantum fluctuations by studying the impact of a ferromagnetic nearest-neighbour spin interaction in one spatial dimension on the non-equilibrium dynamical phase diagram…

Statistical Mechanics · Physics 2018-04-09 A. Lerose , J. Marino , B. Zunkovic , A. Gambassi , A. Silva

Short-time dynamics of many-body systems may exhibit non-analytical behavior of the systems' properties at particular times, thus dubbed dynamical quantum phase transition. Simulations showed that in the presence of disorder new critical…

Statistical Mechanics · Physics 2023-03-14 O. N. Kuliashov , A. A. Markov , A. N. Rubtsov

We establish an intriguing connection between quantum phase transitions and bifurcations in the reduced fidelity between two different reduced density matrices for quantum lattice many-body systems with symmetry-breaking orders. Our finding…

Strongly Correlated Electrons · Physics 2009-05-20 Jin-Hua Liu , Qian-Qian Shi , Jian-Hui Zhao , Huan-Qiang Zhou

We investigate two separate notions of dynamical phase transitions in the two-dimensional nearest-neighbor transverse-field Ising model on a square lattice using matrix product states and a new \textit{hybrid} infinite time-evolving block…

Strongly Correlated Electrons · Physics 2022-04-21 Tomohiro Hashizume , Ian P. McCulloch , Jad C. Halimeh

We analyze the dynamics of the return amplitude following a sudden quench in the three-state quantum Potts chain. For quenches crossing the quantum critical point from the paramagnetic to the ferromagnetic phase, the corresponding rate…

Strongly Correlated Electrons · Physics 2017-02-27 C. Karrasch , D. Schuricht

Quantum phase transitions between the magnetically ordered and disordered states are studied for the two-dimensional antiferromagnetic quantum spin systems with ladder, plaquette, and mixed-spin structures. Starting with properly chosen…

Strongly Correlated Electrons · Physics 2009-10-31 A. Koga , S. Kumada , N. Kawakami

Recent experimental achievements in controlling ultracold gases in optical lattices open a new perspective on quantum many-body physics. In these experimental setups it is possible to study coherent time evolution of isolated quantum…

Quantum Gases · Physics 2010-06-04 Peter Barmettler , Matthias Punk , Vladimir Gritsev , Eugene Demler , Ehud Altman

This paper introduces complex dynamics methods to study dynamical quantum phase transitions in the one- and two-dimensional quantum 3-state Potts model. The quench involves switching off an infinite transverse field. The time-dependent…

Statistical Mechanics · Physics 2024-03-14 Somendra M. Bhattacharjee

We describe a new universality class of dynamical quantum phase transitions of the Loschmidt amplitude of quantum spin chains off equilibrium criticality. We demonstrate that in many cases it is possible to change the conventional linear…

Statistical Mechanics · Physics 2020-10-07 Yantao Wu

Dynamical phase transitions (DPTs) are signaled by the non-analytical time evolution of the dynamical free energy after quenching some global parameters in quantum systems. The dynamical free energy is calculated from the overlap between…

Statistical Mechanics · Physics 2019-03-04 R. Jafari

It is believed that the theory of quantum gravity describing our universe is unitary. Nonetheless, if we only have access to a subsystem, its dynamics is described by nonequilibrium physics. Motivated by this, we investigate the planar…

High Energy Physics - Theory · Physics 2026-02-27 Minjae Cho

Non-equilibrium dynamics of many-body systems is important in many branches of science, such as condensed matter, quantum chemistry, and ultracold atoms. Here we report the experimental observation of a phase transition of the quantum…

Quantum Physics · Physics 2015-09-24 Gonzalo A. Alvarez , Dieter Suter , Robin Kaiser

We study the isotropic Heisenberg chain with nearest and next-nearest neighbour interactions. The ground state phase diagram is constructed in dependence on the additonal interactions and an external magnetic field. The thermodynamics is…

Strongly Correlated Electrons · Physics 2009-11-13 Christian Trippe , Andreas Klümper

Quantum phase transitions are usually studied in terms of Hermitian Hamiltonians. However, cold-atom experiments are intrinsically non-Hermitian due to spontaneous decay. Here, we show that non-Hermitian systems exhibit quantum phase…

Quantum Gases · Physics 2014-10-08 Tony E. Lee , Ching-Kit Chan

We study the dynamical quantum phase transitions (DQPTs) manifested in the subsequent unitary dynamics of an extended Ising model with additional three spin interactions following a sudden quench. Revisiting the equilibrium phase diagram of…

Statistical Mechanics · Physics 2018-04-24 Sourav Bhattacharjee , Amit Dutta

The one-dimensional extended isotropic XY model (s=1/2) in a transverse field with uniform long-range interactions among the \textit{z} components of the spin is considered. The model is exactly solved by introducing the gaussian and…

Statistical Mechanics · Physics 2009-12-11 F. G. Ribeiro , J. P. de Lima , L. L. Goncalves

We investigate the phase transition in a three-dimensional classical Heisenberg magnet with planar defects, i.e., disorder perfectly correlated in two dimensions. By applying a strong-disorder renormalization group, we show that the…

Statistical Mechanics · Physics 2010-04-08 Priyanka Mohan , Rajesh Narayanan , Thomas Vojta

Quantum dynamics of magnetic order in a chiral multiferroic chain is studied. We consider two different scenarios: Ultrashort terahertz (THz) excitations or a sudden electric field quench. Performing analytical and numerical exact…

Strongly Correlated Electrons · Physics 2016-09-07 M. Azimi , M. Sekania , S. K. Mishra , L. Chotorlishvili , Z. Toklikishvili , J. Berakdar