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The dynamical quantum phase transition is characterized by the emergence of nonanalytic behaviors in the rate function, corresponding to the occurrence of exact zero points of the Loschmidt echo in the thermodynamical limit. In general,…

量子物理 · 物理学 2023-04-12 Yumeng Zeng , Bozhen Zhou , Shu Chen

We study a quantum quench in a one-dimensional spinless fermion model (equivalent to the XXZ spin chain), where a magnetic flux is suddenly switched off. This quench is equivalent to imposing a pulse of electric field and therefore…

统计力学 · 物理学 2016-05-30 Yuya O. Nakagawa , Grégoire Misguich , Masaki Oshikawa

In this work we develop the theory of the Loschmidt echo and dynamical phase transitions in non-interacting strongly disordered Fermi systems after a quench. In finite systems the Loschmidt echo displays zeros in the complex time plane that…

无序系统与神经网络 · 物理学 2022-09-23 Tuomas I. Vanhala , Teemu Ojanen

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…

强关联电子 · 物理学 2014-04-01 F. Andraschko , J. Sirker

A local excitation in a quantum many-particle system evolves deterministically. A time-reversal procedure, involving the invertion of the signs of every energy and interaction, should produce an excitation revival: the Loschmidt echo (LE).…

统计力学 · 物理学 2015-10-22 Pablo R. Zangara , Patricia R. Levstein , Horacio M. Pastawski

We analyze the dynamics of a Luttinger model following a quench in the electron-electron interaction strength, where the change in the interaction strength occurs over a finite time scale $\tau$. We study the Loschmidt echo (the overlap…

介观与纳米尺度物理 · 物理学 2014-08-27 Rashi Sachdeva , Tanay Nag , Amit Agarwal , Amit Dutta

We consider the non-equilibrium physics induced by joining together two tight binding fermionic chains to form a single chain. Before being joined, each chain is in a many-fermion ground state. The fillings (densities) in the two chains…

统计力学 · 物理学 2016-09-29 Jacopo Viti , Jean-Marie Stéphan , Jérôme Dubail , Masudul Haque

We theoretically investigate the Fermi edge singularity in a spin incoherent Luttinger liquid. Both cases of finite and infinite core hole mass are explored, as well as the effect of a static external magnetic field of arbitrary strength.…

强关联电子 · 物理学 2007-05-23 Gregory A. Fiete

Is it possible to readily distinguish a system made by an Avogadro's number of identical elements and one with a single additional one? Usually, the answer to this question is negative but, in this work, we show that in antiferromagnetic…

We study the response to sudden local perturbations of highly excited Quantum Ising Spin Chains. The key quantity encoding this response is the overlap between time-dependent wave functions, which we write as a two-times Loschmidt echo. Its…

统计力学 · 物理学 2016-11-29 Carla Lupo , Marco Schiró

If a magnetic polarization excess is locally injected in a crystal of interacting spins, this "excitation" would spread as consequence of spin-spin interactions. Such an apparently irreversible process is known as spin diffusion and it can…

量子物理 · 物理学 2017-02-14 Pablo R. Zangara , Horacio M. Pastawski

Non-Hermitian rotation-time reversal (RT)-symmetric spin models possess two distinct phases, the unbroken phase in which the entire spectrum is real and the broken phase which contains complex eigenspectra, thereby indicating a transition…

Numerical evidence for a finite-time singularity in ideal 3D magnetohydrodynamics (MHD) is presented. The simulations start from two interlocking magnetic flux rings with no initial velocity. The magnetic curvature force causes the flux…

等离子体物理 · 物理学 2009-10-31 Robert M. Kerr , Axel Brandenburg

We study the out-of-equilibrium dynamics of two interacting atoms in a one-dimensional harmonic trap after a quench by a tightly pinned impurity atom. We make use of an approximate variational calculation called the Lagrange-mesh method to…

量子物理 · 物理学 2016-12-28 Tim Keller , Thomás Fogarty

We investigate the quench dynamics of a one-dimensional incommensurate lattice described by the Aubry-Andr\'{e} model by a sudden change of the strength of incommensurate potential $\Delta$ and unveil that the dynamical signature of…

无序系统与神经网络 · 物理学 2017-05-24 Chao Yang , Yucheng Wang , Pei Wang , Gao Xianlong , Shu Chen

We study the quantum quench problem for a class of bosonic conformal interfaces by computing the Loschmidt echo and the bipartite fidelity. The quench can be viewed as a sudden change of boundary conditions parameterized by $\theta$ when…

统计力学 · 物理学 2017-12-14 Tianci Zhou , Mao Lin

The accurate description and robust computational modeling of the nonequilibrium properties of quantum systems remain a challenge in condensed matter physics. In this work, we develop a linear-scale computational simulation technique for…

无序系统与神经网络 · 物理学 2024-02-23 Niaz Ali Khan , Wen Chen , Munsif Jan , Gao Xianlong

The Loschmidt echo (LE) is a purely quantum-mechanical quantity whose determination for large quantum many-body systems requires an exceptionally precise knowledge of all eigenstates and eigenenergies. One might therefore be tempted to…

统计力学 · 物理学 2018-09-27 Johannes Lang , Bernhard Frank , Jad C. Halimeh

We study the Loschmidt echo for a system of electrons interacting through mean-field Coulomb forces. The electron gas is modeled by a self-consistent set of hydrodynamic equations. It is observed that the quantum fidelity drops abruptly…

量子物理 · 物理学 2009-11-13 G. Manfredi , P. -A. Hervieux

We consider finite-temperature deformation of the sine kernel Fredholm determinants acting on the closed contours. These types of expressions usually appear as static two-point correlation functions in the models of free fermions and can be…

数学物理 · 物理学 2024-11-26 Oleksandr Gamayun , Yuri Zhuravlev
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