Mathieu Beau

ORCID: 0000-0003-0502-6210
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About
Contact & Profiles
Research Areas
  • Cold Atom Physics and Bose-Einstein Condensates
  • Quantum Mechanics and Applications
  • Quantum Information and Cryptography
  • Nuclear Physics and Applications
  • Quantum, superfluid, helium dynamics
  • Quantum many-body systems
  • Quantum optics and atomic interactions
  • Advanced Thermodynamics and Statistical Mechanics
  • Strong Light-Matter Interactions
  • Quantum Electrodynamics and Casimir Effect
  • Quantum Computing Algorithms and Architecture
  • Quantum Mechanics and Non-Hermitian Physics
  • Spectral Theory in Mathematical Physics
  • Nuclear physics research studies
  • Quantum chaos and dynamical systems
  • Atomic and Subatomic Physics Research
  • Radioactive Decay and Measurement Techniques
  • Advanced Mathematical Modeling in Engineering
  • Nonlinear Waves and Solitons
  • Spectroscopy and Quantum Chemical Studies
  • Black Holes and Theoretical Physics
  • Quantum and Classical Electrodynamics
  • Radiation Detection and Scintillator Technologies
  • advanced mathematical theories
  • Physics of Superconductivity and Magnetism

University of Massachusetts Boston
2015-2025

Massachusetts Institute of Technology
2024

Dublin Institute For Advanced Studies
2010-2022

Aarhus University
2013

Center for Pastor Theologians
2010

Université de Toulon
2010

Centre de Physique Théorique
2009-2010

Aix-Marseille Université
2010

CEA DAM Île-de-France
1991-1997

Commissariat à l'Énergie Atomique et aux Énergies Alternatives
1984-1997

While the emergent field of quantum thermodynamics has potential to impact energy science, performance thermal machines is often classical. We ask whether effects can boost a machine reach supremacy, i.e., surpassing both efficiency and power achieved in classical thermodynamics. To this end, we introduce nonadiabatic heat engine operating an Otto cycle with many-particle working medium, consisting interacting Bose gas confined time-dependent harmonic trap. It shown that thanks interplay...

10.1088/1367-2630/18/7/075019 article EN cc-by New Journal of Physics 2016-07-26

The finite-time operation of a quantum heat engine that uses single particle as working medium generally increases the output power at expense inducing friction lowers cycle efficiency. We propose to scale up utilizing many-particle in combination with use shortcuts adiabaticity boost nonadiabatic performance by eliminating and reducing time. To this end, we first analyze thermodynamics Otto implemented fluid confined time-dependent harmonic trap. show effects can be controlled tailored...

10.3390/e18050168 article EN cc-by Entropy 2016-04-30

We introduce a scheme for the quantum simulation of many-body decoherence based on unitary evolution stochastic Hamiltonian. Modulating strength interactions with processes, we show that noise-averaged density matrix simulates an effectively open dynamics governed by $k$-body Lindblad operators. Markovian can be accessed white-noise fluctuations; non-Markovian requires colored noise. The time scale governing fidelity decay under is shown to as ${N}^{\ensuremath{-}2k}$ system size $N$. Our...

10.1103/physrevlett.118.140403 article EN publisher-specific-oa Physical Review Letters 2017-04-05

We introduce general bounds for the parameter estimation error in nonlinear quantum metrology of many-body open systems Markovian limit. Given a k-body Hamiltonian and p-body Lindblad operators, using Greenberger-Horne-Zeilinger state as probe is shown to scale N^{-[k-(p/2)]}, surpassing shot-noise limit 2k>p+1. Metrology equivalence between initial product states maximally entangled established p≥1. further show that one can estimate system-environment coupling with precision N^{-(p/2)},...

10.1103/physrevlett.119.010403 article EN Physical Review Letters 2017-07-06

A system prepared in an unstable quantum state generally decays following exponential law, as environmental decoherence is expected to prevent the decay products from recombining reconstruct initial state. Here we show existence of deviations open systems under very general conditions. Our results are illustrated with exact dynamics Brownian motion and suggest explanation recent experimental observations.

10.1103/physrevlett.119.130401 article EN Physical Review Letters 2017-09-27

We introduce an exact mapping between the Dirac equation in ($1+1$)-dimensional curved spacetime (DCS) and a multiphoton quantum Rabi model (QRM). A background of black hole requires QRM with one- two-photon terms that can be implemented trapped ion for simulation particles spacetime. illustrate our proposal numerical analysis free fall particle into hole, find Zitterbewegung effect, measurable via oscillatory trajectory particle, persists presence gravity. From duality squeezing term metric...

10.1103/physrevlett.120.160403 article EN Physical Review Letters 2018-04-17

The complex Fourier transform of the two-point correlator energy spectrum a quantum system is known as spectral form factor (SFF). It constitutes an essential diagnostic tool for phases matter and chaos. In black hole physics, it describes survival probability (fidelity) thermofield double state under unitary time evolution. However, detailed properties SFF isolated systems with generic spectra are smeared out by large temporal fluctuations, whose minimization requires disorder or averages....

10.1103/physreva.108.062201 article EN Physical review. A/Physical review, A 2023-12-01

Using standard results from statistics, we show that for Gaussian quantum systems the distribution of a time measurement at fixed position can be directly inferred as given by Born rule. In an application to particle mass $m$ falling in uniform gravitational field $g$, use this approach obtain exact explicit expression probability density arrival (TOA). long time-of-flight approximation, predict average positive relative shift with respect classical TOA case zero initial mean velocity is...

10.1103/physreva.109.012216 article EN Physical review. A/Physical review, A 2024-01-22

In this letter we discuss the relevance of 3D Perfect Bose gas (PBG) condensation in extremely elongated vessels for study anisotropic condensate coherence and "quasi-condensate".To end analyze case exponentially (van den Berg) boxes, when there are two critical densities ρc < ρm a generalised Bose-Einstein Condensation (BEC).Here is standard density PBG.We consider three examples geometry: slabs, squared beams "cigars" to demonstrate that "quasi-condensate" which exists domain ρ fact van...

10.5488/cmp.13.23003 article EN cc-by Condensed Matter Physics 2010-01-01

We introduce a model of trapped bosons with contact interactions as well Coulomb repulsion or gravitational attraction in one spatial dimension. find the exact ground-state energy and many-body wave function. The density profile pair-correlation function are sampled using Monte Carlo method show rich variety regimes crossovers between them. Strong leads to McGuire quantum soliton. Weak results an incompressible Laughlin-like fluid flat density, reproduced by Gross-Pitaevskii equation...

10.1103/physrevlett.125.220602 article EN Physical Review Letters 2020-11-25

The Kibble-Zurek mechanism (KZM) predicts that the average number of topological defects generated upon crossing a continuous or quantum phase transition obeys universal scaling law with quench time. Fluctuations in defect near equilibrium are approximately Gaussian form, agreement central limit theorem. Using large deviations theory, we characterize universality fluctuations beyond KZM and report exact form rate function transverse-field Ising model. In addition, an arbitrary transition,...

10.1103/physrevlett.131.230401 article EN Physical Review Letters 2023-12-04

10.1007/s10773-014-2394-0 article EN International Journal of Theoretical Physics 2014-11-21

In this article we present an analytic solution of the famous problem diffraction and interference electrons through one two slits (for simplicity, only one-dimensional case is considered).In addition to exact formulas, exhibit various approximations electron distribution which facilitate interpretation results.Our derivation based on Feynman path integral formula work could therefore also serve as interesting pedagogical introduction Feynman's formulation quantum mechanics for university...

10.1088/0143-0807/33/5/1023 article EN European Journal of Physics 2012-06-07

A one-dimensional quantum many-body system consisting of particles confined in a harmonic potential and subject to finite-range two-body three-body inverse-square interactions is introduced. The range the set by truncation beyond number neighbors can be tuned interpolate between Calogero-Sutherland model with nearest next-nearest discussed Jain Khare. also includes Tonks-Girardeau gas describing impenetrable bosons as well novel extension truncated interactions. While ground state...

10.1103/physrevb.95.205135 article EN publisher-specific-oa Physical review. B./Physical review. B 2017-05-22

We consider the nonadiabatic energy fluctuations of a many-body system in time-dependent harmonic trap. In presence scale-invariance, dynamics becomes self-similar and nondiabatic can be found terms initial expectation values second moments Hamiltonian, square position, squeezing operators. Nonadiabatic features are expressed scaling factor governing size atomic cloud, which extracted from time-of-flight images. apply this exact relation to number examples: single-particle oscillator,...

10.3390/e22050515 article EN cc-by Entropy 2020-04-30

We analyze the concept of generalized Bose–Einstein condensation (g-BEC), known since 1982 for perfect Bose gas (PBG) in Casimir (or anisotropic) boxes. Our aim is to establish a relation between this phenomenon and two concepts: long cycles off-diagonal-long-range-order (ODLRO), which are usually considered as an adequate way describe standard BEC on ground state cubic First, we show that these three criteria equivalent latter case. Then, based scaling approach, revise formulation concepts...

10.1088/1751-8113/42/23/235204 article EN Journal of Physics A Mathematical and Theoretical 2009-05-22

We find the complete family of many-body quantum Hamiltonians with ground-state Jastrow form involving pairwise product a pair function in an arbitrary spatial dimension. The parent Hamiltonian generally includes two-body potential as well three-body potential. thus generalize Calogero-Marchioro construction for three-dimensional case to resulting models is further extended include one-body term representing external potential, which gives rise additional long-range interaction. Using this...

10.21468/scipostphyscore.4.4.030 article EN cc-by SciPost Physics Core 2021-11-18
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