Mario Rasetti

Institute for Scientific Interchange

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Arianna Montorsi

Polytechnic University of Turin

Annalisa Marzuoli

Istituto Nazionale di Fisica Nucleare, Sezione di Pavia

E. Celeghini

Istituto Nazionale di Fisica Nucleare, Sezione di Firenze

C. Buzano

Polytechnic University of Turin

Francesco Antonino Raffa

Polytechnic University of Turin

Giuseppe Vitiello

University of Salerno

Giacomo Mauro D’Ariano

University of Pavia

T. Regge

University of Turin

Silvano Garnerone

Science for Life Laboratory

Allan I. Solomon

The Open University

Cooperative Institutions

Polytechnic University of Turin

Istituto Nazionale di Fisica Nucleare

Istituto Nazionale per la Fisica della Materia

Institute for Scientific Interchange

Centre National de la Recherche Scientifique

University of Turin

University of Miami

University of Salerno

Massachusetts Institute of Technology

Istituto Nazionale di Fisica Nucleare, Sezione di Torino

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TOPOLOGICAL AND QUANTUM GROUP-METHODS IN FIELD-THEORY AND CONDENSED MATTER PHYSICS - PREFACE

WORLD SCIENTIFIC eBooks (1992)

M. Martellini Mario Rasetti

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Citations (2)

Second Order Treatment of a Pseudo-Spin System. I: Self-Consistency and Thermal Equilibrium

Progress of Theoretical Physics (1982)

C. Buzano Mario Rasetti M. Vadacchino

A general Heisenberg system in an external field is solved by a second order cumulant-cluster approximation. The uncompatibility between the solutions of the polarization self-consistency and minimum free energy equations is discussed. A correlated mean-field is then introduced which allows the removal of such difficulty at low temperature.

Cumulant

Thermal equilibrium

10.1143/ptp.68.703

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Citations (10)

Is quantum simulation of turbulence within reach?

International Journal of Quantum Information (2014)

Mario Rasetti

The possibility of approaching quantum simulation of "topological turbulence" is discussed. In the latter, the topological features of turbulent flow are ascribed to a purely group-theoretic and topological view through the group SDiff of volume-preserving diffeomorphisms and the Mapping Class Group for the 2D surfaces that foliate the 3D flow domain. A class of representations of the group of mapping classes for compact boundaryless surfaces is explicitly constructed in terms of the Witt–Virasoro Hopf-coalgebra and implemented in terms of su(1,1). This leads to a complex, nonlinear Hamiltonian naturally associated with the fluid diffeomorphisms that could lend itself to the quantum simulation of turbulence in Fock space.

Hamiltonian (control theory)

10.1142/s0219749915600084

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Quantum geometry and quantum algorithms

Journal of Physics A Mathematical and Theoretical (2007)

Silvano Garnerone Annalisa Marzuoli Mario Rasetti

Motivated by algorithmic problems arising in quantum field theories whose dynamical variables are geometric in nature, we provide a quantum algorithm that efficiently approximates the coloured Jones polynomial. The construction is based on the complete solution of the Chern–Simons topological quantum field theory and its connection to Wess–Zumino–Witten conformal field theory. The coloured Jones polynomial is expressed as the expectation value of the evolution of the q-deformed spin-network quantum automaton. A quantum circuit is constructed capable of simulating the automaton and hence of computing such an expectation value. The latter is efficiently approximated using a standard sampling procedure in quantum computation.

10.1088/1751-8113/40/12/s10

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Citations (18)

FRONT MATTER

Series on advances in statistical mechanics (1991)

Mario Rasetti

10.1142/9789814439503_fmatter

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METAL-INSULATOR TRANSITION IN THE HUBBARD MODEL

Modern Physics Letters B (1996)

Arianna Montorsi Mario Rasetti

We study the metal-insulator transition of the d-dimensional Hubbard model by treating the hopping term between adjacent 1-d chains in the frame of a Clifford linearization scheme, and keeping the full model along the chains. A general equation for the critical point is worked out in terms of the correlation functions of the one-dimensional model, assuming that the transition is of the second order. The equation, which holds at any temperature, is here investigated especially at T=0, where the latter condition holds true. The solution shows the existence of an insulating ground state in any d only at half-filling for U strictly positive, as in the exact 1-d case. The transition is found to be related to a parameter reminiscent of entropy.

Linearization

Transition point

Metal–insulator transition

10.1142/s0217984996000985

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Topological concepts in phase transition theory

Springer eBooks (2008)

Mario Rasetti

10.1007/3-540-10578-6_30

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Citations (4)

CHEN'S ITERATED PATH INTEGRALS, QUANTUM VORTICES AND LINK INVARIANTS

Elsevier eBooks (1991)

Vittorio Penna Mario Rasetti Mauro Spera

Flatness (cosmology)

Iterated function

Link (geometry)

10.1016/b978-0-444-88958-4.50025-2

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The Significance of Nonlinearity in the Natural Sciences

Springer eBooks (1977)

Orbis Scientiae Behram N. Kurșunoǧlu Mou-Shan Chen Joseph B. Hubbard Michel Mille

Linearity

10.1007/978-1-4684-7224-0

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Citations (36)

Phase Diagram of a Spin-1 Quantum Ising Model with Dipole and Quadrupole Interactions

Molecular crystals and liquid crystals (1983)

C. Buzano Mario Rasetti P. T. Valabrega

Abstract A quantum Ising-like spin-1 system with both dipole and quadrupole interactions is analyzed. Such model is a generalized quantum version of the Blume-Emery-Griffiths model in an external anisotropic field. Models of this type are interesting candidates to describe phase transitions in liquid crystals. The phase diagram as well as the thermodynamic potentials of the model are constructed by a recently formulated improved version of mean field theory. The latter, which has the usual mean field theory as its zero-th order approximation, takes into account fluctuations up to the fourth-order. The phase diagram is found to exhibit phase transition manifolds of both the first and the second order, as well as multicritical lines. Four phases can be recognized: one ferromagnetic and three paramagnetic. The phases are identified by the requirements of minimum free energy constrained by the condition of self consistency of the order parameters p and q

Multicritical point

Quantum fluctuation

Mean field theory

10.1080/00268948308073480

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Citations (4)