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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

We study the time-dependence of the magnetization profile, m_l(t), of a large finite open quantum Ising chain after a quench. We observe a cyclic variation, in which starting with an exponentially decreasing period the local magnetization…

Statistical Mechanics · Physics 2011-01-21 Ferenc Iglói , Heiko Rieger

We consider the computation of the Loschmidt echo after quantum quenches in the interacting $XXZ$ Heisenberg spin chain both for real and imaginary times. We study two-site product initial states, focusing in particular on the N\'eel and…

Statistical Mechanics · Physics 2017-02-17 Lorenzo Piroli , Balázs Pozsgay , Eric Vernier

We investigate sudden quenches across the critical point in the transverse field Ising chain with a perturbing non-integrable next-nearest-neighbour interaction. Expressions for the return (Loschmidt) amplitude and associated rate function…

Statistical Mechanics · Physics 2015-06-22 Johannes Kriel , Christoph Karrasch , Stefan Kehrein

The (Loschmidt) overlap between the state at different times after a quantum quench is attracting increasing interest, as it was recently shown that in the thermodynamic limit its logarithm per unit of length has a non-analytic behavior if…

Statistical Mechanics · Physics 2013-09-09 Maurizio Fagotti

We explore the dynamics of long-range Kitaev chain by varying pairing interaction exponent, $\alpha$. It is well known that distinctive characteristics on the nonequilibrium dynamics of a closed quantum system are closely related to the…

Statistical Mechanics · Physics 2020-08-28 Utkarsh Mishra , R. Jafari , Alireza Akbari

We study the time-dependent backscattered current produced in a quantum wire when a local barrier is suddenly switched on. Previous investigations are improved by taking into account the finite length of the device. We establish two…

Strongly Correlated Electrons · Physics 2011-12-14 Mariano Salvay , Aníbal Iucci , Carlos Naón

We consider a class of quantum quenches in the spin-1/2 XXZ chain, where the initial state is of a simple product form. Specific examples are the N\'eel state, the dimer state and the q-deformed dimer state. We compute determinant formulas…

Statistical Mechanics · Physics 2015-06-17 B. Pozsgay

We study the dynamics arising from a double quantum quench where the parameters of a given Hamiltonian are abruptly changed from being in an equilibrium phase A to a different phase B and back (A$\to$B$\to$A). As prototype models, we…

Statistical Mechanics · Physics 2018-05-17 D. M. Kennes , D. Schuricht , C. Karrasch

We consider a quantum quench in the spin-1/2 Heisenberg XXZ chain. At late times after the quench it is believed that the expectation values of local operators approach time-independent values, that are described by a generalized Gibbs…

Statistical Mechanics · Physics 2013-07-31 Maurizio Fagotti , Fabian H. L. Essler

The non-equilibrium evolution of the block entanglement entropy is investigated in the XY chain in a transverse magnetic field after the Hamiltonian parameters are suddenly changed from and to arbitrary values. Using Toeplitz matrix…

Statistical Mechanics · Physics 2009-11-13 Maurizio Fagotti , Pasquale Calabrese

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

We consider global quenches in the quantum XY chain in a transverse field and study the nonequilibrium relaxation of the magnetization and the correlation function as well as the entanglement entropy in finite systems. For quenches in the…

Statistical Mechanics · Physics 2016-05-24 Benjamin Blaß , Heiko Rieger , Ferenc Iglói

We investigate the behavior of the return amplitude ${\cal F}(t)= |\langle\Psi(0)|\Psi(t)\rangle|$ following a quantum quench in a conformal field theory (CFT) on a compact spatial manifold of dimension $d-1$ and linear size $O(L)$, from a…

Statistical Mechanics · Physics 2016-12-14 John Cardy

The probability density of a quantum particle moving freely within a circular ring can exhibit local flow patterns inconsistent with its angular momentum, a phenomenon known as quantum backflow. In this study, we examine a quantum particle…

Quantum Physics · Physics 2024-08-13 Arseni Goussev , Felix Quinque , Jaewoo Joo , Andrew Burbanks

Considering nonintegrable quantum Ising chains with exponentially decaying interactions, we present matrix product state results that establish a connection between low-energy quasiparticle excitations and the kind of nonanalyticities in…

Strongly Correlated Electrons · Physics 2020-07-29 Jad C. Halimeh , Maarten Van Damme , Valentin Zauner-Stauber , Laurens Vanderstraeten

The electromagnetic $N-\Delta(1232)$ transition amplitudes are calculated using the point-form of relativistic quantum mechanics. The relativistic effects incorporated in the electromagnetic matrix elements give a good description of the…

High Energy Physics - Phenomenology · Physics 2015-06-16 Yubing Dong , Mauro Giannini , Elena Santopinto , Andrea Vassallo

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

We investigate the dynamics of the XXZ spin chain after a geometric quench, which is realized by connecting two half-chains prepared in their ground states with zero and maximum magnetizations, respectively. The profiles of magnetization…

Statistical Mechanics · Physics 2019-05-15 Matthias Gruber , Viktor Eisler

Using the adaptive time-dependent density-matrix renormalization group method, the dynamics of entanglement and quantum discord of a one-dimensional spin-1/2 XXZ chain is studied when anisotropic interaction quenches are applied at…

Quantum Physics · Physics 2012-06-22 Jie Ren , Yin-Zhong Wu , Shi-Qun Zhu
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