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We discuss general properties of the equilibrium state of parametric down-conversion in superconducting quantum circuits with detunings and Kerr anharmonicities, in the strongly nonlinear regime. By comparing moments of the steady state and…

量子物理 · 物理学 2019-09-24 Feng-Xiao Sun , Qiongyi He , Qihuang Gong , Run Yan Teh , Margaret D. Reid , Peter D. Drummond

Starting from a many-body classical system governed by a trace-form entropy we derive, in the stochastic quantization picture, a family of non linear and non-Hermitian Schroedinger equations describing, in the mean filed approximation, a…

统计力学 · 物理学 2007-05-23 A. M. Scarfone

Boltzmann's principle S=k ln W allows to extend equilibrium thermo-statistics to ``Small'' systems without invoking the thermodynamic limit. The clue is to base statistical probability on ensemble averaging and not on time averaging. It is…

统计力学 · 物理学 2007-05-23 D. H. E. Gross

A non-Markovian stochastic Schroedinger equation for a quantum system coupled to an environment of harmonic oscillators is presented. Its solutions, when averaged over the noise, reproduce the standard reduced density operator without any…

量子物理 · 物理学 2009-10-31 Walter T Strunz , Lajos Diosi , Nicolas Gisin

We present the quantum measurement problem as a serious physics problem. Serious because without a resolution, quantum theory is not complete, as it does not tell how one should - in principle - perform measurements. It is physical in the…

量子物理 · 物理学 2018-07-23 Nicolas Gisin

We develop a dynamical framework for quantum measurement based on stochastic but unitary evolution in projective state space. Random Hamiltonians drawn from the Gaussian Unitary Ensemble generate stochastic unitary dynamics of the quantum…

量子物理 · 物理学 2026-01-27 Alexey A. Kryukov

We propose a method to create "spin cat states", i.e. macroscopic superpositions of coherent spin states, in Bose-Einstein condensates using the Kerr nonlinearity due to atomic collisions. Based on a detailed study of atom loss, we conclude…

量子物理 · 物理学 2014-08-28 Hon Wai Lau , Zachary Dutton , Tian Wang , Christoph Simon

In static classical statistical systems the problem of information transport from a boundary to the bulk finds a simple description in terms of wave functions or density matrices. While the transfer matrix formalism is a type of Heisenberg…

量子物理 · 物理学 2018-05-09 C. Wetterich

After a careful analysis of the feedback model recently proposed by Slosser and Milburn [Phys. Rev. Lett. 75, 418 (1995)], we are led to the conclusion that---under realistic conditions---their scheme is not significantly more effective in…

量子物理 · 物理学 2009-10-30 Mauro Fortunato

The measurement problem is the issue of explaining how the objective classical world emerges from a quantum one. Here we take a different approach. We assume that there is an objective classical system, and then ask that the standard rules…

量子物理 · 物理学 2025-10-13 Isaac Layton , Jonathan Oppenheim , Zachary Weller-Davies

Quantum superpositions of distinct coherent states in a single-mode harmonic oscillator, known as "cat states", have been an elegant demonstration of Schrodinger's famous cat paradox. Here, we realize a two-mode cat state of electromagnetic…

Working entirely within the Schroedinger paradigm, meaning wavefunction only, I present a modification of his theory that prevents formation of macroscopic dispersion (MD; "cats"). The proposal is to modify the Hamiltonian based on a method…

量子物理 · 物理学 2017-10-11 W. David Wick

We study the focusing stochastic nonlinear Schr\"odinger equation in one spatial dimension with multiplicative noise, driven by a Wiener process white in time and colored in space, in the $L^2$-critical and supercritical cases. The mass…

偏微分方程分析 · 数学 2022-10-11 Annie Millet , Alex D Rodriguez , Svetlana Roudenko , Kai Yang

Before the thermodynamic limit, macroscopic averages need not commute for a quantum system. As a consequence, aspects of macroscopic fluctuations or of constrained equilibrium require a careful analysis, when dealing with several…

数学物理 · 物理学 2007-05-23 W. De Roeck , C. Maes , K. Netocny

A small quantum scattering system (the microsystem) is studied in interaction with a large system (the macrosystem) described by unknown stochastic variables. The interaction between the two systems is diagonal for the microsystem in a…

量子物理 · 物理学 2007-05-23 K. -E. Eriksson

In order to make the quantum mechanics a closed theory one has to derive the Born rule from the first principles, like the Schroedinger equation, rather than postulate it. The Born rule was in certain sense derived in several articles, e.g.…

量子物理 · 物理学 2024-06-19 G. B. Lesovik

We carry out probabilistic phase-space sampling of mesoscopic Schr\"odinger cat quantum states, demonstrating multipartite Bell violations for up to 60 qubits. We use states similar to those generated in photonic and ion-trap experiments.…

量子物理 · 物理学 2014-02-12 Bogdan Opanchuk , Laura Rosales-Zárate , Margaret D. Reid , Peter D. Drummond

The macro-objectivation problem derives from the fact that the Schrodinger equation is linear and thus requires that a macroscopic system interacting with an entangled state must be entangled as well. However, such a requirement entails…

量子物理 · 物理学 2013-04-03 Arkady Bolotin

We investigate a generalisation to L\"uders' rule \`a la Aharonov-Albert in those globally hyperbolic spacetimes which allow unitarily equivalent Hilbert spaces to be defined along Cauchy hypersurfaces, thus relying on the existence of an…

量子物理 · 物理学 2026-01-13 Samuel Fedida

A model of quantum measurement, illustrated using the spin--boson model, is formulated in terms of a cascading pair of quantum phase transitions. The first produces the desired superposition of macroscopic responses to the microscopic state…

统计力学 · 物理学 2019-12-19 Peter B. Weichman