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We discuss the formal relationship between the real-time Keldysh and imaginary-time theory for nonequilibrium in quantum dot systems. The latter can be reformulated using the recently proposed Matsubara voltage approach. We establish…

Strongly Correlated Electrons · Physics 2013-03-28 Jong E. Han , Andreas Dirks , Thomas Pruschke

We calculate the energy levels and corresponding eigenstates of an interacting scalar quantum field theory on a lattice using a continuous-variable version of the quantum imaginary time evolution algorithm. Only a single qumode is needed…

Quantum Physics · Physics 2022-01-19 Kübra Yeter-Aydeniz , Eleftherios Moschandreou , George Siopsis

For a weakly coupled quantum field at high temperature the classical approximation offers a possibility to gain insight into nonperturbative real-time dynamics. I use this to present a nonperturbative approach to the computation of spectral…

High Energy Physics - Lattice · Physics 2015-06-25 Gert Aarts

The pseudoscalar correlator is an ideal lattice probe for thermal modifications to quarkonium spectra, given that it is not compromised by a contribution from a large transport peak. We construct a perturbative spectral function…

High Energy Physics - Lattice · Physics 2017-12-04 Y. Burnier , H. -T. Ding , O. Kaczmarek , A. -L. Kruse , M. Laine , H. Ohno , H. Sandmeyer

Time-resolved mapping of lattice dynamics in real- and momentum-space is essential to understand better several ubiquitous phenomena such as heat transport, displacive phase transition, thermal conductivity, and many more. In this regard,…

Strongly Correlated Electrons · Physics 2021-01-06 Navdeep Rana , Aditya Prasad Roy , Dipanshu Bansal , Gopal Dixit

Inverse problems involve making inference about unknown parameters of a physical process using observational data. This paper investigates an important class of inverse problems -- the estimation of the initial condition of a…

Methodology · Statistics 2023-02-09 Xiao Liu , Kyongmin Yeo

A well-known difficulty of perturbative approaches to quantum field theory at finite temperature is the necessity to address theoretical constraints that are not present in the vacuum theory. In this work, we use lattice simulations of…

High Energy Physics - Phenomenology · Physics 2024-08-30 Peter Lowdon , Owe Philipsen

We present a new impurity solver for dynamical mean-field theory based on imaginary-time evolution of matrix product states. This converges the self-consistency loop on the imaginary-frequency axis and obtains real-frequency information in…

Strongly Correlated Electrons · Physics 2015-11-30 F. Alexander Wolf , Ara Go , Ian P. McCulloch , Andrew J. Millis , Ulrich Schollwöck

Gauge theories are the cornerstone of our understanding of fundamental interactions among particles. Their properties are often probed in dynamical experiments, such as those performed at ion colliders and high-intensity laser facilities.…

We investigate simulations for gauge theories on a Minkowskian space-time lattice. We employ stochastic quantization with optimized updating using stochastic reweighting or gauge fixing, respectively. These procedures do not affect the…

High Energy Physics - Lattice · Physics 2008-11-26 J. Berges , D. Sexty

We introduce an exact framework to compute the positive frequency moments $M^{(\alpha)}(\mathbf{q})=\braket{\omega^\alpha}$ of different dynamic properties from imaginary-time quantum Monte Carlo data. As a practical example, we obtain the…

Molecular dynamics simulations and instantaneous normal mode (INM) analysis of a fluid with core-softened pair interactions and water-like liquid-state anomalies are performed to obtain an understanding of the relationship between…

Soft Condensed Matter · Physics 2015-05-18 Alan Barros de Oliveira , Evy A. Salcedo Torres , Charusita Chakravarty , Marcia C. Barbosa

With advances in quantum computing, new opportunities arise to tackle challenging calculations in quantum field theory. We show that trotterized time-evolution operators can be related by analytic continuation to the Euclidean transfer…

High Energy Physics - Lattice · Physics 2021-12-08 Marcela Carena , Henry Lamm , Ying-Ying Li , Wanqiang Liu

We present a semiclassical phase-space method to calculate thermal and ground states of large interacting spin systems. To this end, we extend the recently developed truncated Wigner approximation for spins (TWA) to the imaginary time,…

Quantum Physics · Physics 2026-03-05 Tom Schlegel , Dennis Breu , Michael Fleischhauer

Formulating gauge theories on a lattice offers a genuinely non-perturbative way of studying quantum field theories, and has led to impressive achievements. In particular, it significantly deepened our understanding of quantum…

High Energy Physics - Lattice · Physics 2020-10-16 Mari Carmen Bañuls , Krzysztof Cichy

We establish a new approach to calculating spectral statistics in disordered conductors, by considering how energy levels move in response to changes in the impurity potential. We use this fictitious dynamics to calculate the spectral form…

Condensed Matter · Physics 2009-10-28 J. T. Chalker , Igor V. Lerner , Robert A. Smith

We identify a new element in quantum simulations of lattice gauge theories, arising from spacetime-dependent quantum corrections in the relation between the link variables defined on the lattice and their continuum counterparts. While in…

Quantum Physics · Physics 2025-05-01 Marc Illa , Martin J. Savage , Xiaojun Yao

Spectral densities connect correlation functions computed in quantum field theory to observables measured in experiments. For strongly-interacting theories, their non-perturbative determinations from lattice simulations are therefore of…

High Energy Physics - Lattice · Physics 2024-07-08 Mattia Bruno , Leonardo Giusti , Matteo Saccardi

Heat conduction in low-dimensional systems exhibits strong deviations from Fourier behavior due to anharmonicity and long-lived vibrational correlations, challenging conventional computational approaches. The…

We calculate spectral functions of the relativistic $O(4)$ model from real-time lattice simulations in classical-statistical field theory. While in the low and high temperature phase of the model, the spectral functions of longitudinal…

High Energy Physics - Lattice · Physics 2019-12-05 Sören Schlichting , Dominik Smith , Lorenz von Smekal