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Coherent states path integral formalism for the simplest quantum algebras, q-oscillator, SU_q(2) and SU_q(1,1) is introduced. In the classical limit canonical structure is derived with modified symplectic and Riemannian metric. Non-constant…

High Energy Physics - Theory · Physics 2009-10-22 Demosthenes Ellinas

We discuss and implement experimentally a method for characterizing quantum gates operating on superpositions of coherent states. The peculiarity of this encoding of qubits is to work with a non-orthogonal basis, and therefore some…

A path integral formalism for non-equilibrium systems is proposed based on a manifold of quasi-equilibrium densities. A generalized Boltzmann principle is used to weight manifold paths with the exponential of minus the information…

Mathematical Physics · Physics 2015-03-17 Richard Kleeman

Coherent state functional integrals for the minisuperspace models of quantum cosmology are studied. By the well-established canonical theories, the transition amplitudes in the path-integral representations of Wheeler-DeWitt quantum…

General Relativity and Quantum Cosmology · Physics 2015-05-30 Li Qin , Yongge Ma

We develop the formulation of the spin(SU(2)) coherent state path integrals based on arbitrary fiducial vectors. The resultant action in the path integral expression extensively depends on the vector; It differs from the conventional one in…

Quantum Physics · Physics 2007-05-23 Masao Matsumoto

Reliable processing of quantum information is a milestone to achieve for the deployment of quantum technologies. Uncontrolled, out-of-equilibrium sources of decoherence need to be characterized in detail for designing the control of quantum…

Quantum Physics · Physics 2023-10-26 Martin Kuffer , Analia Zwick , Gonzalo A. Alvarez

We build coherent states (CS) for unbounded motions along two different procedures. In the first one we adapt the Malkin-Manko construction for quadratic Hamiltonians to the motion of a particle in a linear potential. A generalization to…

Quantum Physics · Physics 2015-06-03 V. G. Bagrov , J. -P. Gazeau , D. M. Gitman , A. D. Levin

We give here a covariant definition of the path integral formalism for the Lagrangian, which leaves a freedom to choose anyone of many possible quantum systems that correspond to the same classical limit without adding new potential terms…

High Energy Physics - Theory · Physics 2009-09-25 Andres Jordan , Matias Libedinsky

While dealing with a class of generalized Bergman spaces on the unit ball, we construct for each of these spaces a set of coherent states to apply a coherent states quantization method. This provides us with another way to recover the…

Functional Analysis · Mathematics 2012-05-08 A. Boussejra , Z. Mouayn

The coherent state path integral formulation of certain many particle systems allows for their non perturbative study by the techniques of lattice field theory. In this paper we exploit this strategy by simulating the explicit example of…

Condensed Matter · Physics 2009-10-28 M. Beccaria , B. Alles , F. Farchioni

In this Letter we propose two path integral approaches to describe the classical mechanics of spinning particles. We show how these formulations can be derived from the associated quantum ones via a sort of geometrical dequantization…

Quantum Physics · Physics 2009-11-10 D. Mauro

In this paper we address the problem to compute state dependent feedback controls for path integral control problems. To this end we generalize the path integral control formula and utilize this to construct parameterized state dependent…

Optimization and Control · Mathematics 2016-01-06 Sep Thijssen , H. J. Kappen

The quantization of systems with first- and second-class constraints within the coherent-state path-integral approach is extended to quantum systems with fermionic degrees of freedom. As in the bosonic case the importance of path-integral…

Quantum Physics · Physics 2011-09-13 Georg Junker , John R. Klauder

A general procedure for constructing coherent states, which are eigenstates of annihilation operators, related to quantum mechanical potential problems, is presented. These coherent states, by construction are not potential specific and…

Quantum Physics · Physics 2007-05-23 P. K. Panigrahi , T. Shreecharan , J. Banerji , V. Sundaram

A coarse graining technique akin to block spin transformations that groups together fiducial cells in a homogeneous and isotropic universe has been recently developed in the context of loop quantum cosmology. The key technical ingredient…

General Relativity and Quantum Cosmology · Physics 2021-06-30 Norbert Bodendorfer , Muxin Han , Fabian Haneder , Hongguang Liu

We explore geometric phases of coherent states and some of their properties. A better and elegant expression of geometric phase for coherent state is derived. It is used to obtain the explicit form of the geometric phase for entangled…

Quantum Physics · Physics 2011-10-20 Da-Bao Yang , Jing-Ling Chen , Chunfeng Wu , C. H. Oh

This article provides a detailed derivation of the path integral formalism for both boson and fermion quantum open systems using coherent states. The formalism on the imaginary-time axis, Keldysh contour, and Kadanoff contour are given. The…

Quantum Physics · Physics 2025-06-11 Ruofan Chen

In this contribution a path integral approach for the quantum motion on three-dimensional spaces according to Koenigs, for short``Koenigs-Spaces'', is discussed. Their construction is simple: One takes a Hamiltonian from three-dimensional…

Quantum Physics · Physics 2007-08-24 Christian Grosche

A coherent state path integral is considered for fermions with precise, discrete time separation. We derive in detail a nonlinear sigma model of a pair condensate concerning the precise, discrete time step order which is usually abbreviated…

Statistical Mechanics · Physics 2009-06-16 Bernhard Mieck

In this paper I give a major update of quantum gravity framework project. The heuristic conceptual framework proposed in previous versions is expanded to include structure formation and consciousness in the universe. A Path Integral version…

General Physics · Physics 2023-08-29 Suresh K Maran
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