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Nonstandard analysis and electromagnetic propagation properties are used to derive all of the fundamental results for the Special Theory of Relativity. Infinitesimal modeling via infinitesimal light-clocks is used to derive two general…

General Mathematics · Mathematics 2014-02-17 Robert A. Herrmann

Ab initio methods based on the second-order and higher connected moments, or cumulants, of a reference function have seen limited use in the determination of correlation energies of chemical systems throughout the years. Moment-based…

Chemical Physics · Physics 2023-08-25 Brad Ganoe , Martin Head-Gordon

Non-perturbatively generated effective potentials play an extremely useful and often critical role in string and inflationary model building. These potentials are typically computed by methods that assume the system is in equilibrium. For…

High Energy Physics - Theory · Physics 2020-06-24 Guilherme L. Pimentel , John Stout

A quantum thermodynamic system can conserve non-commuting observables, but the consequences of this phenomenon on relaxation are still not fully understood. We investigate this problem by leveraging an observable-dependent approach to…

Determining the statistics of work done on a quantum system while strongly coupled to a reservoir is a formidable task, requiring the calculation of the full eigenspectrum of the combined system and reservoir. Here we show that this issue…

Quantum Physics · Physics 2026-05-28 Owen Diba , Harry J. D. Miller , Jake Iles-Smith , Ahsan Nazir

The nonclassical properties of quantum states are of tremendous interest due to their potential applications in future technologies. It has recently been realized that the concept of a "resource theory" is a powerful approach to quantifying…

Quantum Physics · Physics 2020-07-01 Wenchao Ge , Kurt Jacobs , Saeed Asiri , Michael Foss-Feig , M. Suhail Zubairy

The extremal dependence structure of a regularly varying $d$-dimensional random vector can be described by its angular measure. The standard nonparametric estimator of this measure is the empirical measure of the observed angles of the $k$…

Statistics Theory · Mathematics 2025-03-31 Holger Drees

We model and experimentally demonstrate the full time-dependent counting statistics of photons emitted by a single nitrogen-vacancy (NV) center in diamond under non-resonant laser excitation and resonant microwave control. A generalization…

Building on recent advances in quantum algorithms which measure and reuse qubits and in efficient classical simulation leveraging projective measurements, we extend these frameworks to real-time dynamics of quantum many-body systems…

Quantum Physics · Physics 2025-12-08 Bo Xiao , Benedikt Kloss , E. Miles Stoudenmire

The Kirkwood-Dirac (KD) distribution has recently emerged as a powerful quasiprobability framework with wide-ranging applications in quantum information processing tasks. In this work, we introduce an experimentally motivated criterion for…

Quantum Physics · Physics 2026-03-27 Sudip Chakrabarty , Bivas Mallick , Saheli Mukherjee , Ananda G. Maity

We perform the first numerical simulations of necklaces in a non-Abelian gauge theory. Necklaces are composite classical solutions which can be interpreted as monopoles trapped on strings, rather generic structures in a Grand Unified…

Cosmology and Nongalactic Astrophysics · Physics 2017-04-04 Mark Hindmarsh , Kari Rummukainen , David J. Weir

Picture an experimental scenario where a closed quantum system, evolving through a time-independent Hamiltonian, is subject to a demolition measurement at a chosen time. The Hamiltonian, the measured observables, the initial state of the…

Quantum Physics · Physics 2026-03-05 Konstantinos Manos , Mirjam Weilenmann , Miguel Navascues

We investigate non-Markovianity measure using two-time correlation functions for open quantum systems. We define non-Markovianity measure as the difference between the exact two-time correlation function and the one obtained in the Markov…

Quantum Physics · Physics 2015-12-09 Md. Manirul Ali , Ping-Yuan Lo , Matisse Wei-Yuan Tu , Wei-Min Zhang

One of the most striking features of quantum mechanics is the profound effect exerted by measurements alone. Sophisticated quantum control is now available in several experimental systems, exposing discrepancies between quantum and…

We show that it is impossible to perform ideal projective measurements on quantum systems using finite resources. We identify three fundamental features of ideal projective measurements and show that when limited by finite resources only…

Quantum Physics · Physics 2020-01-14 Yelena Guryanova , Nicolai Friis , Marcus Huber

The relation between projective measurements and generalized quantum measurements is a fundamental problem in quantum physics, and clarifying this issue is also important to quantum technologies. While it has been intuitively known that…

Quantum Physics · Physics 2023-01-26 Wen-Long Ma , Shu-Shen Li , Ren-Bao Liu

In contrast to classical systems, actual implementation of non-Hermitian Hamiltonian dynamics for quantum systems is a challenge because the processes of energy gain and dissipation are based on the underlying Hermitian system-environment…

Quantum Physics · Physics 2020-10-23 R. Grimaudo , A. Messina , A. Sergi , N. V. Vitanov , S. N. Filippov

We investigate measurement-induced phase transitions in the Quantum Ising chain coupled to a monitoring environment. We compare two different limits of the measurement problem, the stochastic quantum-state diffusion protocol corresponding…

Quantum Physics · Physics 2021-07-07 Xhek Turkeshi , Alberto Biella , Rosario Fazio , Marcello Dalmonte , Marco Schiro

Exponential time differencing methods is a power tool for high-performance numerical simulation of computationally challenging problems in condensed matter physics, fluid dynamics, chemical and biological physics, where mathematical models…

Numerical Analysis · Mathematics 2024-10-15 Evelina V. Permyakova , Denis S. Goldobin

The time-convolutionless (TCL) projection operator technique allows a systematic analysis of the non-Markovian quantum dynamics of open systems. We introduce a class of projection superoperators which project the states of the total system…

Quantum Physics · Physics 2007-05-23 Heinz-Peter Breuer , Jochen Gemmer , Mathias Michel