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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

The Lee-Yang theorem for the zeroes of the partition function is not strictly applicable to quantum systems because the zeroes are defined in units of the fugacity $e^{h\Delta\tau}$, and the Euclidean-time lattice spacing $\Delta\tau$ can…

Statistical Mechanics · Physics 2009-11-13 P. R. Crompton

We investigate the effects of uncorrelated noise on dynamical quantum phase transitions (DQPTs) in fermionic two-band models following a quantum ramp across critical points. We consider a generalized Loschmidt echo for the noise-averaged…

Statistical Mechanics · Physics 2025-08-06 R. Jafari , Alireza Akbari , Mehdi Biderang , Jesko Sirker

We comment on the Lee-Yang zero analysis for the study of the phase structure of QCD at high temperature and baryon number density by Monte-Carlo simulations. We find that the sign problem for non-zero density QCD induces a serious problem…

High Energy Physics - Lattice · Physics 2014-11-17 Shinji Ejiri

As a foundation of statistical physics, Lee and Yang in 1952 proved that the partition functions of thermal systems can be zero at certain points (called Lee-Yang zeros) on the complex plane of temperature. In the thermodynamic limit, the…

Statistical Mechanics · Physics 2013-05-24 Bo-Bo Wei , Ren-Bao Liu

We study the Yang-Lee theory in quantum phase transitions from the perspective of quantum entanglement in one-dimensional many-body systems. We primarily focus on the distribution of Yang-Lee zeros and its associated Yang-Lee edge…

Quantum Physics · Physics 2025-01-31 Hongchao Li

The recently discovered dynamical phase transition denotes non-analytic behavior in the real time evolution of quantum systems in the thermodynamic limit and has been shown to occur in different systems at zero temperature [Heyl et al.,…

Statistical Mechanics · Physics 2016-03-23 Nils O. Abeling , Stefan Kehrein

Properties of time-periodic Hamiltonians can be exploited to increase the dephasing time of qubits and to design protected one and two-qubit gates. Recently, Huang et al. [Phys. Rev. Applied 15, 034065 (2021)] have shown that time-dependent…

Many-body phenomena far from equilibrium present challenges beyond reach by classical computational resources. Digital quantum computers provide a possible way forward but noise limits their use in the near-term. We propose a scheme to…

Quantum Physics · Physics 2021-12-23 Kaixiang Su , Michael J. Lawler

We study transitions between distinct phases of one-dimensional periodically driven (Floquet) systems. We argue that these are generically controlled by infinite-randomness fixed points of a strong-disorder renormalization group procedure.…

Disordered Systems and Neural Networks · Physics 2018-09-25 William Berdanier , Michael Kolodrubetz , S. A. Parameswaran , Romain Vasseur

We introduce a general framework of phase reduction theory for quantum nonlinear oscillators. By employing the quantum trajectory theory, we define the limit-cycle trajectory and the phase according to a stochastic Schr\"{o}dinger equation.…

Quantum Physics · Physics 2024-03-01 Wataru Setoyama , Yoshihiko Hasegawa

This paper studies a generalization of the Curie-Weiss model (the Ising model on a complete graph) to quantum mechanics. Using a natural probabilistic representation of this model, we give a complete picture of the phase diagram of the…

Probability · Mathematics 2009-11-13 Lincoln Chayes , Nicholas Crawford , Dmitry Ioffe , Anna Levit

Quantum circuits have become a powerful tool in the study of many-body quantum physics, providing insights into both fast-thermalizing chaotic and non-thermalizing integrable many-body dynamics. In this work, we explore a distinct…

Disordered Systems and Neural Networks · Physics 2024-10-31 Richard D. Barney , Yunxiang Liao , Victor Galitski

Quantum localization (single-body or many-body) comes with the emergence of local conserved quantities -- whose conservation is precisely at the heart of the absence of transport through the system. In the case of fermionic systems and…

Disordered Systems and Neural Networks · Physics 2025-03-04 Leonardo Benini , Piero Naldesi , Rudolf A. Römer , Tommaso Roscilde

Phase covariant qubit dynamics describes an evolution of a two-level system under simultaneous action of pure dephasing, energy dissipation, and energy gain with time-dependent rates $\gamma_z(t)$, $\gamma_-(t)$, and $\gamma_+(t)$,…

Quantum Physics · Physics 2020-04-24 S. N. Filippov , A. N. Glinov , L. Leppäjärvi

We present a generalized circle theorem which includes the Lee-Yang theorem for symmetric transitions as a special case. It is found that zeros of the partition function can be written in terms of discontinuities in the derivatives of the…

Condensed Matter · Physics 2009-10-22 Koo-Chul Lee

We consider a periodically driven quantum system described by a Hamiltonian which is the product of a slowly varying Hermitian operator $V\left(\boldsymbol{\lambda}\left(t\right)\right)$ and a dimensionless periodic function with zero…

Quantum Physics · Physics 2019-07-31 Viktor Novičenko , Gediminas Juzeliūnas

We present a method to enact a deterministic, measurement-free, optically generated controlled-phase gate on two qubits defined by single electrons trapped in large-area quantum dots in a planar microcavity. This method is robust to optical…

Quantum Physics · Physics 2009-10-28 T. D. Ladd , Y. Yamamoto

Lee-Yang (LY) zeros play a fundamental role in the formulation of statistical physics in terms of (grand) partition functions, and assume theoretical significance for the phenomenon of phase transitions. In this paper, motivated by recent…

Statistical Mechanics · Physics 2022-12-14 Chengshu Li , Fan Yang

The path integral by which quantum field theories are defined is a particular solution of a set of functional differential equations arising from the Schwinger action principle. In fact these equations have a multitude of additional…

High Energy Physics - Theory · Physics 2014-11-18 Gerald Guralnik , Zachary Guralnik
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