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We show that phase transitions in the quantum $q$-state clock model for $q \leq 4$ can be characterized by an enhanced decay behavior of the Loschmidt echo via a small quench. The quantum criticality of the quantum $q$-state clock model is…

强关联电子 · 物理学 2023-04-19 Jia-Chen Tang , Wen-Long You , Myung-Joong Hwang , Gaoyong Sun

The complex zeros of partition functions were originally investigated by Lee and Yang to explain the behavior of condensing gases. Since then, Lee-Yang zeros have become a powerful tool to describe phase transitions in interacting systems.…

介观与纳米尺度物理 · 物理学 2018-01-17 Aydin Deger , Kay Brandner , Christian Flindt

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…

量子物理 · 物理学 2021-09-30 Bozhen Zhou , Yumeng Zeng , Shu Chen

We investigate Lee-Yang zeros of generating functions of dynamical observables and establish a general relation between phase transitions in ensembles of trajectories of stochastic many-body systems and the time evolution of high-order…

统计力学 · 物理学 2013-01-31 Christian Flindt , Juan P. Garrahan

We introduce a circuit-QED architecture combining fixed-frequency qubits and microwave-driven couplers. In the appropriate frame, the drive parameters appear as tunable knobs enabling selective two-qubit coupling and coherent-error…

In this work it is shown that dynamical quantum phase transitions in Loschmidt echos control the nonequilibrium dynamics of the order parameter after particular quantum quenches in systems with broken-symmetry phases. A direct connection…

统计力学 · 物理学 2014-11-24 Markus Heyl

Bosonic codes constitute a promising route to fault-tolerant quantum computing. {Existing Floquet protocols enable analytical construction of bosonic codes but typically rely on slow adiabatic ramps with thousands of driving periods.} In…

量子物理 · 物理学 2026-01-14 Tangyou Huang , Lei Du , Lingzhen Guo

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

Phase Transition is associated with a drastic change in some observable (ordered parameter) of the system when the controlled parameter is tuned smoothly. Lee-Yang theory of phase transition is discussed which is related to the accumulation…

统计力学 · 物理学 2022-05-10 Shoaib Akhtar

By deriving a general framework and analyzing concrete examples, we demonstrate a class of dynamical quantum phase transitions (DQPTs) in one-dimensional two-band systems going through double-quench processes. When this type of DQPT occurs,…

量子物理 · 物理学 2022-07-05 Xu-Yang Hou , Qu-Cheng Gao , Hao Guo , Chih-Chun Chien

We analyze a scheme for quantum computation where quantum gates can be continuously changed from standard dynamic gates to purely geometric ones. These gates are enacted by controlling a set of parameters that are subject to unwanted…

量子物理 · 物理学 2009-11-10 Shi-Liang Zhu , Paolo Zanardi

We investigate the Ising model in one, two, and three dimensions using a cumulant method that allows us to determine the Lee-Yang zeros from the magnetization fluctuations in small lattices. By doing so with increasing system size, we are…

统计力学 · 物理学 2020-11-13 Aydin Deger , Fredrik Brange , Christian Flindt

Phase transitions have recently been formulated in the time domain of quantum many-body systems, a phenomenon dubbed dynamical quantum phase transitions (DQPTs), whose phenomenology is often divided in two types. One refers to distinct…

量子物理 · 物理学 2021-01-04 Ricardo Puebla

In the context of closed quantum systems, when a system prepared in its ground state undergoes a sudden quench, the resulting Loschmidt echo can exhibit zeros, resembling the Fisher zeros in the theory of classical equilibrium phase…

Lattice gauge theories are a fascinating and rich class of theories relating to the most fundamental models of particle physics, and as experimental control on the quantum level increases there is a growing interest in non-equilibrium…

量子物理 · 物理学 2021-06-03 Simon Panyella Pedersen , Nikolaj Thomas Zinner

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…

统计力学 · 物理学 2017-06-01 Tomoyuki Obuchi , Sei Suzuki , Kazutaka Takahashi

Lee-Yang theory, based on the study of zeros of the partition function, is widely regarded as a powerful and complimentary approach to the study of critical phenomena and forms a foundational part of the theory of phase transitions. Its…

强关联电子 · 物理学 2023-08-02 Jonathan D'Emidio

Quantum phase estimation plays a central role in quantum simulation as it enables the study of spectral properties of many-body quantum systems. Most variants of the phase estimation algorithm require the application of the global unitary…

Floquet dynamical quantum phase transitions (FDQPTs) reveal many nonequilibrium critical phenomena in periodically driven quantum systems, and their underlying mechanisms have attracted deep attention in recent years. In this paper, we…

量子物理 · 物理学 2026-04-22 Wen-Hui Nie , Mei-Yu Zhang , Lin-Cheng Wang , Chong Li

The notion of a dynamical quantum phase transition (DQPT) was recently introduced in [Heyl et al., Phys. Rev. Lett. 110, 135704 (2013)] as the non-analytic behavior of the Loschmidt echo at critical times in the thermodynamic limit. In this…

统计力学 · 物理学 2015-09-04 Markus Schmitt , Stefan Kehrein