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Quantum recurrence theorem holds for quantum systems with discrete energy eigenvalues and fails to hold in general for systems with continuous energy. We show that during quantum walk process dominated by interference of amplitude…

Quantum Physics · Physics 2010-08-03 C. M. Chandrashekar

We present a detailed study of the finite-size one-dimensional quantum XY chain in a transverse field in the presence of boundary fields coupled with the order-parameter spin operator. We consider fields located at the chain boundaries that…

Statistical Mechanics · Physics 2025-09-30 Aldo Coraggio , Andrea Pelissetto

We study the return probability and its imaginary ($\tau$) time continuation after a quench from a domain wall initial state in the XXZ spin chain, focusing mainly on the region with anisotropy $|\Delta|< 1$. We establish exact Fredholm…

Statistical Mechanics · Physics 2017-11-06 Jean-Marie Stéphan

Recurrence time quantifies the duration required for a physical system to return to its initial state, playing a pivotal role in understanding the predictability of complex systems. In quantum systems with subspace measurements, recurrence…

Statistical Mechanics · Physics 2024-01-19 Quancheng Liu , David A. Kessler , Eli Barkai

We consider $N$ non-interacting fermions prepared in the ground state of a 1D confining potential and submitted to an instantaneous quench consisting in releasing the trapping potential. We show that the quantum return probability of…

Statistical Mechanics · Physics 2019-02-15 P L Krapivsky , J M Luck , K Mallick

We investigate the difference in the response of a one-dimensional semiconductor quantum ring and a finite-width ring to a strong and short-lived time-dependent perturbation in the THz regime. In both cases the persistent current is…

Mesoscale and Nanoscale Physics · Physics 2015-06-24 S. S. Gylfadottir , V. Gudmundsson , C. S. Tang , A. Manolescu

We revisit the study of amplitude oscillations in a pair condensate of fermions after an interaction quench, and generalize it to nonzero temperature. For small variations of the order parameter, we show that the energy transfer during the…

Quantum Gases · Physics 2023-10-13 Hadrien Kurkjian , Victor E. Colussi , Paul Dyke , Chris J. Vale , Silvia Musolino

We investigate the dynamics following sudden quenches across quantum critical points belonging to different universality classes. Specifically, we use matrix product state methods to study the quantum Ising chain in the presence of two…

Strongly Correlated Electrons · Physics 2013-05-07 C. Karrasch , D. Schuricht

The quantum mechanical transition amplitudes are calculated perturbatively on the basis of the stochastic quantization method of Parisi and Wu. It is shown that the stochastic scheme reproduces the ordinary result for the amplitude and…

High Energy Physics - Theory · Physics 2007-05-23 Kazuya Yuasa , Hiromichi Nakazato

We propose a new computational method of the Loschmidt amplitude in a generic spin system on the basis of the complex semiclassical analysis on the spin-coherent state path integral. We demonstrate how the dynamical transitions emerge in…

Statistical Mechanics · Physics 2017-06-01 Tomoyuki Obuchi , Sei Suzuki , Kazutaka Takahashi

We study the structure of the revivals in an integrable quantum many-body system, the transverse field XY spin chain, after a quantum quench. The time evolutions of the Loschmidt echo, the magnetization, and the single spin entanglement…

Quantum Physics · Physics 2012-03-15 Juho Häppölä , Gábor B. Halász , Alioscia Hamma

We investigate equilibrium statistical properties of the quantum XY spin-1/2 model in an external magnetic field when the interaction and field parts are subjected to quenched or/and annealed disorder. The randomness present in the system…

Disordered Systems and Neural Networks · Physics 2017-07-05 Anindita Bera , Debraj Rakshit , Aditi Sen De , Ujjwal Sen

We study the nonequilibrium dynamics of a quasiperiodic quantum Ising chain after a sudden change in the strength of the transverse field at zero temperature. In particular we consider the dynamics of the entanglement entropy and the…

Statistical Mechanics · Physics 2013-06-18 Ferenc Igloi , Gergo Roosz , Yu-Cheng Lin

We study switching between period-two states of an underdamped quantum oscillator modulated at nearly twice its natural frequency. For all temperatures and parameter values switching occurs via quantum activation: it is determined by…

Statistical Mechanics · Physics 2009-11-11 M. Marthaler , M. I. Dykman

We study the equilibrium properties of the spin-$1/2$ XY chain with an infinite-range transverse interaction. At zero temperature, competition between the XY- and the $z$-ordered phases induced by the infinite-range interactions gives rise…

Statistical Mechanics · Physics 2023-10-17 Bojan Žunkovič , Pedro Ribeiro

We study a quantum mechanical toy model that mimics some features of a quenched phase transition. Both by virtue of a time-dependent Hamiltonian or by changing the temperature of the bath we are able to show that even after classicalization…

Quantum Physics · Physics 2009-11-07 Nuno D. Antunes , Fernando C. Lombardo , Diana Monteoliva

We study the universal real-time relaxation behaviors of a long-range quantum XY chain following a quench. Our research includes both the noncritical and critical quench. In the case of noncritical quench, i.e., neither the initial state…

Statistical Mechanics · Physics 2023-12-05 Yu-Huang Huang , Yin-Tao Zou , Chengxiang Ding

Quantum phase transitions occur when quantum fluctuation destroys order at zero temperature. With an increase in temperature, normally the thermal fluctuation wipes out any signs of this transition. Here we identify a physical quantity that…

Statistical Mechanics · Physics 2022-06-17 Protyush Nandi , Sirshendu Bhattacharyya , Subinay Dasgupta

One-dimensional quantum scattering from a local potential barrier is considered. Analytical properties of the scattering amplitudes have been investigated by means of the integral equations equivalent to the Schrodinger equations. The…

Quantum Physics · Physics 2009-10-30 M. S. Marinov , Bilha Segev

We use tensor network simulations to calculate the time evolution of the lower part of the entanglement spectrum and return rate functions after global quantum quenches in the Ising model. We consider ground state quenches towards mesonic…

High Energy Physics - Theory · Physics 2023-03-20 Johannes Knaute