Results 51 to 60 of about 4,250,304 (141)
Charging a quantum battery from the Bloch Sphere
This study uncovers the origin of the ergotropy stockpiled during the charging of a quantum battery, as well as the genesis of the battery capacity. It is found that both coherences and population inversion can meaningfully contribute, and the balance between these two mechanisms is intimately related to the initial state of the charger as well as the ...
Charles Andrew Downing +1 more
wiley +1 more source
Determining Liouvillian first integrals for dynamical systems in the plane [PDF]
Here we present/implement an algorithm to find Liouvillian first integrals of dynamical systems in the plane. In \cite{JCAM}, we have introduced the basis for the present implementation. The particular form of such systems allows reducing it to a single rational first order ordinary differential equation (rational first order ODE).
Avellar, J. +3 more
openaire +3 more sources
Abstract We study the emission from a molecular photonic cavity formed by two proximal photonic crystal defect cavities containing a small number (<3) of In(Ga)As quantum dots. Under strong excitation, we observe photoluminescence from the bonding and antibonding modes in agreement with ab initio numerical simulations.
Stefan Lichtmannecker +15 more
wiley +1 more source
Homogeneous‐Like Generalized Cubic Systems
We consider properties and center conditions for plane polynomial systems of the forms x˙=-y-p1(x,y)-p2(x,y), y˙=x+q1(x,y)+q2(x,y) where p1, q1 and p2, q2 are polynomials of degrees n and 2n − 1, respectively, for integers n ≥ 2. We restrict our attention to those systems for which yp2(x, y) + xq2(x, y) = 0.
G. R. Nicklason, Jaume Giné
wiley +1 more source
A note on Liouvillian first integrals and invariant algebraic curves
In this paper we study the existence and non-existence of finite invariant algebraic curves for complex planar polynomial differential system having a Liouvillian first integral.
Giné, Jaume +2 more
openaire +7 more sources
Differential Galois Approach to the Non-integrability of the Heavy Top Problem [PDF]
We study integrability of the Euler-Poisson equations describing the motion of a rigid body with one fixed point in a constant gravity field. Using the Morales-Ramis theory and tools of differential algebra we prove that a symmetric heavy top is ...
Andrzej J. Maciejewski +2 more
core +3 more sources
Magnetic Dipolar Quantum Battery with Spin‐Orbit Coupling
The study explores a magnetic dipolar system influenced by Zeeman splitting, DM, and KSEA interactions, focusing on quantum resources in both closed and open systems. By analyzing the Gibbs state and solving the Lindblad equation, it examines the effects of thermal and dephasing noise on coherence, discord, and entanglement.
Asad Ali +9 more
wiley +1 more source
Relativity and irreversibility
The Lorentz transformation is extended to the decaying states in a relativistic model of interacting fields. The nonlocal action is defined beyond the Hilbert space. This shows that irreversible extensions of dynamics of Poincaré nonintegrable systems are compatible with relativity.
I. Antoniou +3 more
wiley +1 more source
Non-integrability of the generalised spring-pendulum problem
We investigate a generalisation of the three dimensional spring-pendulum system. The problem depends on two real parameters $(k,a)$, where $k$ is the Young modulus of the spring and $a$ describes the nonlinearity of elastic forces.
Maciejewski, Andrzej J. +2 more
core +1 more source
Stochastic Hydrodynamic Velocity Field and the Representation of Langevin Equations
A lumped method is proposed to account for both mean‐field hydrodynamics and stochastic fluctuations within the kinematic equations of motion, providing a regularized formulation of the overdamped approximation. The concept of stochastic realizability in broad sense is introduced based on the spectral properties of the Fredholm operator associated with
Massimiliano Giona +2 more
wiley +1 more source

