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Stochastic multi-scale modeling and simulation for nonlinear thermo-mechanical problems of composite materials with complicated random microstructures remains a challenging issue. In this paper, we develop a novel statistical higher-order…

Numerical Analysis · Mathematics 2023-08-23 Hao Dong , Junzhi Cui

We investigate the superposition of coherent states, emphasizing quantum states with distinct Wigner phase-space features relevant to quantum information applications. In this study, we introduce generalized versions of the compass state,…

Quantum Physics · Physics 2025-08-26 Tan Hailin , Naeem Akhtar , Gao Xianlong

Classical multi-scale methods involving two spatial scales face significant challenges when simulating heterogeneous structures with complicated three-scale spatial configurations. This study proposes an innovative higher-order three-scale…

Numerical Analysis · Mathematics 2025-12-11 Hao Dong , Yanqi Wang , Jiale Linghu , Qiang Ma

The questions we raise in this letter are as follows: What is the most general representation of a quantum state at a single point in time? Can we adapt the current formalisms to situations where the order of quantum operations is…

Quantum Physics · Physics 2024-06-21 Onur Pusuluk , Zafer Gedik , Vlatko Vedral

A generalization of coherent states has been developed in the context of supersymmetric quantum mechanics. For many cases, no link has been made with the corresponding classical system. In this work, we consider simple superpotentials and…

High Energy Physics - Theory · Physics 2025-04-09 Musongela Lubo , Kikunga Kasenda Ivan , Likwolo Katamba Stanislas

Ordinary intelligent states (OIS) hold equality in the Heisenberg uncertainty relation involving two noncommuting observables {A, B}, whereas generalized intelligent states (GIS) do so in the more generalized uncertainty relation, the…

Quantum Physics · Physics 2009-11-13 Hyunchul Nha

We introduce a new non-Gaussian state, generated by m times coherent superposition operation $a\cos \theta +a^{\dagger }e^{i\varphi }\sin \theta $ (MCSO) on odd-Schrodinger-cat state (OSCS). Its normalized constant is turned out to be…

Quantum Physics · Physics 2015-06-22 Li Huang , Qin Guo , Li-ying Jiang , Ge Chen , Xue-xiang Xu , Wen Yuan

We investigate an optical scheme to conditionally engineer quantum states using a beam splitter, homodyne detection and a squeezed vacuum as an ancillar state. This scheme is efficient in producing non-Gaussian quantum states such as…

Two types of states are widely used in quantum mechanics, namely (deterministic-coefficient) pure states and statistical mixtures. A density operator can be associated with each of them. We here address a third type of states, that we…

Quantum Physics · Physics 2024-01-04 Yannick Deville , Alain Deville

The pair coherent state (PCS) is a theoretical extension of the Glauber coherent state to two harmonic oscillators. It is an interesting class of non-Gaussian continuous-variable entangled state and is also at the heart of a promising…

Quantum Physics · Physics 2022-09-26 Jeffrey M. Gertler , Sean van Geldern , Shruti Shirol , Liang Jiang , Chen Wang

The construction of a class of unitary operators generating linear superpositions of generalized coherent states from the ground state of a quantum harmonic oscillator is reported. Such a construction, based on the properties of a new ad…

Quantum Physics · Physics 2013-06-13 Antonino Messina , Gheorghe Draganescu

Superpositions of coherent light states, are vital for quantum technologies. However, restrictions in existing state preparation and characterization schemes, in combination with decoherence effects, prevent their intensity enhancement and…

A quantum system and a thermal bath can reach thermal equilibrium through an interaction, whereupon the system acquires the same temperature as the bath. But how does a delocalised quantum system thermalise with a bath whose local…

Quantum Physics · Physics 2026-01-06 Carolyn E. Wood , Harshit Verma , Fabio Costa , Magdalena Zych

We introduce a new distance-based measure for the nonclassicality of the states of a bosonic field, which outperforms the existing such measures in several ways. We define for that purpose the operator ordering sensitivity of the state…

Quantum Physics · Physics 2019-03-04 Stephan De Bievre , Dmitri B. Horoshko , Giuseppe Patera , Mikhail I. Kolobov

Creating stable superposed states of matter is one of the most intriguing aspects of quantum physics, leading to a variety of counter-intuitive scenarios along with a possibility of restructuring the way we understand, process and…

Atomic Physics · Physics 2018-11-13 Arif Warsi Laskar , Niharika Singh , Pratik Adhikary , Arunabh Mukherjee , Saikat Ghosh

The nonclassicality of quantum states is a fundamental resource for quantum technologies and quantum information tasks in general. In particular, a pivotal aspect of quantum states lies in their coherence properties, encoded in the…

Quantum Physics · Physics 2024-04-08 Luca Innocenti , Lukas Lachman , Radim Filip

A variety of coherent states of the harmonic oscillator is considered. It is formed by a particular superposition of canonical coherent states. In the simplest case, these superpositions are eigenfunctions of the annihilation operator…

Quantum Physics · Physics 2009-10-30 V. Spiridonov

Higher-order nonclassical properties of r photon added and t photon subtracted qudit states (referred to as rPAQS and tPSQS, respectively) are investigated here to answer: How addition and subtraction of photon can be used engineer…

Quantum Physics · Physics 2020-10-28 Kathakali Mandal , Amit Verma

Some aspects of quantum damped harmonic oscillator (DHO) obeying a Markovian master equation are considered in the absence of thermal noise. The continuity equation is derived and Bohmian trajectories are constructed. As a solution of the…

Quantum Physics · Physics 2023-05-18 S. V. Mousavi

This study develops a novel multiscale computational method for heat conduction problems of composite structures with diverse periodic configurations in different subdomains. Firstly, the second-order two-scale (SOTS) solutions for these…

Numerical Analysis · Mathematics 2017-12-08 Hao Dong , Junzhi Cui , Yufeng Nie , Zihao Yang