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We study the non-equilibrium phase diagram and the dynamical phase transitions occurring during the pre-thermalization of non-integrable quantum spin chains, subject to either quantum quenches or linear ramps of a relevant control…

Statistical Mechanics · Physics 2019-03-05 Alessio Lerose , Bojan Zunkovic , Jamir Marino , Andrea Gambassi , Alessandro Silva

We compute the spin structure factor of XXZ spin chains in the Heisenberg and gapped (Ising) regimes in the high-temperature limit for nonzero magnetization, within the framework of generalized hydrodynamics including diffusive corrections.…

Statistical Mechanics · Physics 2019-08-21 Sarang Gopalakrishnan , Romain Vasseur , Brayden Ware

We examine in detail the theoretical foundations of striking long-range couplings emerging in arrays of fluid cells connected by narrow channels by using a lattice gas (Ising model) description of a system. We present a reexamination of the…

Statistical Mechanics · Physics 2017-11-01 D. B. Abraham , A. Maciołek , A. Squarcini , O. Vasilyev

We employ an adaptation of a strong-disorder renormalization-group technique in order to analyze the ferro-paramagnetic quantum phase transition of Ising chains with aperiodic but deterministic couplings under the action of a transverse…

Statistical Mechanics · Physics 2012-03-16 Fleury J. Oliveira Filho , Maicon S. Faria , André P. Vieira

A new approximating technique is developed so as to study the quantum ferromagnetic spin-1 Blume-Capel model in the presence of a transverse crystal field in the square lattice. Our proposal consists of approaching the spin system by…

Statistical Mechanics · Physics 2017-06-14 J. Roberto Viana , Octavio D. Rodriguez Salmon , Minos A. Neto , Diego C. Carvalho

We study exact zeros of Loschmidt echo and quantum speed limit time for dynamical quantum phase transition in finite size systems. Our results illustrate that exact zeros of Loschmidt echo exist even in finite size quantum systems when the…

Quantum Physics · Physics 2021-09-30 Bozhen Zhou , Yumeng Zeng , Shu Chen

We study the dynamical fidelity $\mathcal{F} (t)$ and the Loschmidt echo $\mathcal{L} (t)$, following a periodic driving of the transverse magnetic field of a quantum Ising chain (back and forth across the quantum critical point) by…

Quantum Physics · Physics 2015-06-18 Shraddha Sharma , Angelo Russomanno , Giuseppe E. Santoro , Amit Dutta

Quantum systems can exhibit a great deal of universality at low temperature due to the structure of ground states and the critical points separating distinct states. On the other hand, quantum time evolution of the same systems involves all…

Disordered Systems and Neural Networks · Physics 2014-06-11 Ronen Vosk , Ehud Altman

We study the XYZ spin-1/2 chain placed in a magnetic field pointing along the x-axis. We use bosonization and a renormalization group analysis to show that the model has a non-trivial fixed point at a certain value of the XY anisotropy a…

Strongly Correlated Electrons · Physics 2007-05-23 Amit Dutta , Diptiman Sen

We address the computation of the Loschmidt echo in interacting integrable spin chains after a quantum quench. We focus on the massless regime of the XXZ spin-1/2 chain and present exact results for the dynamical free energy (Loschmidt echo…

Statistical Mechanics · Physics 2018-07-09 Lorenzo Piroli , Balázs Pozsgay , Eric Vernier

Until very recently, the asymptotic occurrence of intrinsic anomalous scaling has been expected to require concomitant effects for kinetically rough interfaces, like quenched disorder or morphological instabilities. However, counterexamples…

Statistical Mechanics · Physics 2024-05-15 E. Rodriguez-Fernandez , S. N. Santalla , M. Castro , R. Cuerno

The periodically driven quantum Ising chain has recently attracted a large attention in the context of Floquet engineering. In addition to the common paramagnet and ferromagnet, this driven model can give rise to new topological phases. In…

Quantum Gases · Physics 2017-07-26 Angelo Russomanno , Bat-el Friedman , Emanuele G. Dalla Torre

The interplay of spin and charge fluctuations in the random transverse-field Ising spin chain on the fermionic space is investigated. The finite chemical potential, which controls the charge fluctuations, leads to the appearance of the…

Disordered Systems and Neural Networks · Physics 2009-10-31 A. L. Chudnovskiy

Using rigorous analytical analysis and exact numerical data for the spin-1/2 transverse Ising chain we discuss the effects of regular alternation of the Hamiltonian parameters on the quantum phase transition inherent in the model.

Statistical Mechanics · Physics 2007-05-23 O. Derzhko , J. Richter , T. Krokhmalskii , O. Zaburannyi

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

We study the Loschmidt echo for quenches in open one-dimensional lattice models with symmetry protected topological phases. For quenches where dynamical quantum phase transitions do occur we find that cusps in the bulk return rate at…

Statistical Mechanics · Physics 2018-02-21 N. Sedlmayr , P. Jäger , M. Maiti , J. Sirker

We study the role of long range dipolar interactions on antiferromagnetic spin chains, from the classical $S\to \infty$ limit to the deep quantum case $S=1/2$, including a transverse magnetic field. To this end, we combine different…

Strongly Correlated Electrons · Physics 2017-08-30 B. Bravo , D. C. Cabra , F. A. Gómez Albarracín , G. L. Rossini

We explore quantum phase transitions in the spin-1/2 $XX$ chain with three-spin interaction in terms of local quantum Fisher information and one-way quantum deficit, together with the demonstration of quantum fluctuations. Analytical…

Quantum Physics · Physics 2020-08-31 Biao-Liang Ye , Bo Li , Xiao-Bin Liang , Shao-Ming Fei

For a general model of a mesoscopic multi-level quantum dot, we determine the necessary conditions for the existence of an anomalous Josephson current with spontaneously broken time-reversal symmetry. They correspond to a finite spin-orbit…

Superconductivity · Physics 2015-05-14 A. Zazunov , R. Egger , T. Jonckheere , T. Martin

We investigate the zero-temperature quantum phase transition of the random bond Ising chain in a transverse magnetic field. Its critical properties are identical to those of the McCoy-Wu model, which is a classical Ising model in two…

Condensed Matter · Physics 2009-10-22 A. Crisanti , H. Rieger
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