Publications (40)
Alternative structures and bi-Hamiltonian systems on a Hilbert space
G. Marmo, G. Scolarici, A. Simoni +1
We discuss transformations generated by dynamical quantum systems which are bi-unitary, i.e. unitary with respect to a pair of Hermitian structures on an infinite-dimensional compl…
TOPOLOGY CHANGE AND QUANTUM PHYSICS
A. P. Balachandran, G. Bimonte, G. Marmo +1
The role of topology in elementary quantum physics is discussed in detail. It is argued that attributes of classical spatial topology emerge from properties of state vectors with s…
Tomograms in the Quantum-Classical transition
V. I. Man'ko, G. Marmo, A. Simoni +2
The quantum-classical limits for quantum tomograms are studied and compared with the corresponding classical tomograms, using two different definitions for the limit. One is the Pl…
Observation of Feshbach resonances in an ultracold gas of Cr
J. Werner, A. Griesmaier, S. Hensler +4
We have observed Feshbach resonances in elastic collisions between ultracold Cr atoms. This is the first observation of collisional Feshbach resonances in an atomic specie…
Realization of associative products in terms of Moyal and tomographic symbols
A. Ibort, V. I. Man'ko, G. Marmo +3
The quantizer-dequantizer method allows to construct associative products on any measure space. Here we consider an inverse problem: given an associative product is it possible to…
Classical and Quantum Systems: Alternative Hamiltonian Descriptions
G. Marmo, G. Scolarici, A. Simoni +1
In complete analogy with the classical situation (which is briefly reviewed) it is possible to define bi-Hamiltonian descriptions for Quantum systems. We also analyze compatible He…
Lorentz Transformations as Lie-Poisson Symmetries
A. Simoni, A. Stern, I. Yakushin
We write down the Poisson structure for a relativistic particle where the Lorentz group does not act canonically, but instead as a Poisson-Lie group. In so doing we obtain the clas…
Collisional properties of ultracold K-Rb mixtures
G. Ferrari, M. Inguscio, W. Jastrzebski +3
We determine the inter-species s-wave triplet scattering length a3 for all K-Rb isotopic mixtures by measuring the cross-section for collisions between 41K and 87Rb in different te…
Photoassociation of sodium in a Bose-Einstein condensate
C. McKenzie, J. Hecker Denschlag, H. Haeffner +13
We report on the formation of ultra-cold Na molecules using single-photon photoassociation of a Bose-Einstein condensate. The photoassociation rate, linewidth and light shift o…
Alternative Structures and Bihamiltonian Systems
G. Marmo, G. Morandi, A. Simoni +1
In the study of bi-Hamiltonian systems (both classical and quantum) one starts with a given dynamics and looks for all alternative Hamiltonian descriptions it admits.In this paper…
39-K Bose-Einstein condensate with tunable interactions
G. Roati, M. Zaccanti, C. D'Errico +5
We produce a Bose-Einstein condensate of 39-K atoms. Condensation of this species with naturally small and negative scattering length is achieved by a combination of sympathetic co…
On the meaning and interpretation of Tomography in abstract Hilbert spaces
V. I. Man'ko, G. Marmo, A. Simoni +3
The mechanism of describing quantum states by standard probability (tomographic one) instead of wave function or density matrix is elucidated. Quantum tomography is formulated in a…
Two--mode optical tomograms: a possible experimental check of the Robertson uncertainty relations
V. I. Man'ko, G. Marmo, A. Simoni +1
The experimental check of two--mode Robertson uncertainty relations and inequalities for highest quadrature moments is suggested by using homodyne photon detection. The relation be…
Poisson Lie Group Symmetries for the Isotropic Rotator
G. Marmo, A. Simoni, A. Stern
We find a new Hamiltonian formulation of the classical isotropic rotator where left and right transformations are not canonical symmetries but rather Poisson Lie group symm…
An introduction to the tomographic picture of quantum mechanics
A. Ibort, V. I. Man'ko, G. Marmo +2
Starting from the famous Pauli problem on the possibility to associate quantum states with probabilities, the formulation of quantum mechanics in which quantum states are described…
Feshbach resonances in ultracold K(39)
C. D'Errico, M. Zaccanti, M. Fattori +4
We discover several magnetic Feshbach resonances in collisions of ultracold K(39) atoms, by studying atom losses and molecule formation. Accurate determination of the magnetic-fiel…
Precise determination of Li cold collision parameters by radio-frequency spectroscopy on weakly bound molecules
M. Bartenstein, A. Altmeyer, S. Riedl +9
We employ radio-frequency spectroscopy on weakly bound Li molecules to precisely determine the molecular binding energies and the energy splittings between molecular states…
Feshbach resonances in ultracold atom-molecule collisions
A. Simoni, J-M. Launay, P. Soldan
We investigate the presence of Feshbach resonances in ultracold alkali-dialkali reactive collisions. Quantum scattering calculations are performed on a new Na_3 quartet potential e…
Poisson bracket algebra for chiral group elements in the WZNW model
G. Bimonte, P. Salomonson, A. Simoni +1
We examine the Wess-Zumino-Novikov-Witten (WZNW) model on a circle and compute the Poisson bracket algebra for left and right moving chiral group elements. Our computations apply f…
Groupoids and the tomographic picture of quantum mechanics
A. Ibort, V. I. Manko, G. Marmo +2
The existing relation between the tomographic description of quantum states and the convolution algebra of certain discrete groupoids represented on Hilbert spaces will be discusse…
On the tomographic description of classical fields
A. Ibort, A. Lopez-Yela, V. I. Man'ko +4
After a general description of the tomographic picture for classical systems, a tomographic description of free classical scalar fields is proposed both in a finite cavity and the…
On the Tomographic Picture of Quantum Mechanics
A. Ibort, V. I. Man'ko, G. Marmo +2
We formulate necessary and sufficient conditions for a symplectic tomogram of a quantum state to determine the density state. We establish a connection between the (re)construction…
A possible experimental check of the uncertainty relations by means of homodyne measuring photon quadrature
V. I. Man'ko, G. Marmo, A. Simoni +1
We suggest to use the photon homodyne detection experimental data for checking the Heisenberg and Schrödinger-Robertson uncertainty relations, by means of measuring optical tomogr…
Tomography in abstract Hilbert spaces
V. I. Man'ko, G. Marmo, A. Simoni +1
The tomographic description of a quantum state is formulated in an abstract infinite dimensional Hilbert space framework, the space of the Hilbert-Schmidt linear operators, with tr…
Quantum Bi-Hamiltonian systems, alternative Hermitian structures and Bi-Unitary transformations
G. Marmo, G. Scolarici, A. Simoni +1
We discuss the dynamical quantum systems which turn out to be bi-unitary with respect to the same alternative Hermitian structures in a infinite-dimensional complex Hilbert space.…
Feshbach Resonances in Fermionic Lithium-6
C. H. Schunck, M. W. Zwierlein, C. A. Stan +6
Feshbach resonances in lithium-6 were experimentally studied and theoretically analyzed. In addition to two previously known s-wave resonances, we found three p-wave resonances. Fo…
Current Algebra and Conformal Field Theory on a Figure Eight
A. P. Balachandran, G. Bimonte, K. S. Gupta +4
We examine the dynamics of a free massless scalar field on a figure eight network. Upon requiring the scalar field to have a well defined value at the junction of the network, it i…
Magnetic control of the interaction in ultracold K-Rb mixtures
A. Simoni, F. Ferlaino, G. Roati +2
We predict the presence of several magnetic Feshbach resonances in selected Zeeman sublevels of the isotopic pairs K(40)-Rb(87) and K(41)-Rb(87) at magnetic fields up to 1000 G. Po…
Exploring ultracold collisions in Li-Cr Fermi mixtures: Feshbach resonances and scattering properties of a novel alkali-transition metal system
A. Ciamei, S. Finelli, A. Trenkwalder +3
We investigate ultracold collisions in a novel mixture of Li and Cr fermionic atoms, discovering more than 50 interspecies Feshbach resonances via loss spectroscopy. Bui…
A tomographic setting for quasi-distribution functions
V. I. Man'ko, G. Marmo, A. Simoni +2
The method of constructing the tomographic probability distributions describing quantum states in parallel with density operators is presented. Known examples of Husimi-Kano quasi-…
A pedagogical presentation of a -algebraic approach to quantum tomography
A. Ibort, V. I. Manko, G. Marmo +2
It is now well established that quantum tomography provides an alternative picture of quantum mechanics. It is common to introduce tomographic concepts starting with the Schrodinge…
Accurate near-threshold model for ultracold KRb dimers from interisotope Feshbach spectroscopy
A. Simoni, M. Zaccanti, C. D'Errico +4
We investigate magnetic Feshbach resonances in two different ultracold K-Rb mixtures. Information on the K(39)-Rb(87) isotopic pair is combined with novel and pre-existing observat…
An Optical Trap for Collisional Studies on Cold Fermionic Potassium
G. Roati, W. Jastrzebski, A. Simoni +2
We report on trapping of fermionic 40K atoms in a red-detuned standing-wave optical trap, loaded from a magneto-optical trap. Typically, 10^6 atoms are loaded at a density of 10^12…
Geometrical Aspects of Lie Groups Representations and Their Optical Applications
J. Guerrero, V. I. Manko, G. Marmo +1
In this paper we present a new procedure to obtain unitary and irreducible representations of Lie groups starting from the cotangent bundle of the group (the cotangent group). We d…
Collisional and molecular spectroscopy in an ultracold Bose-Bose mixture
G. Thalhammer, G. Barontini, J. Catani +5
The route toward a Bose-Einstein condensate of dipolar molecules requires the ability to efficiently associate dimers of different chemical species and transfer them to the stable…
The quantum-to-classical transition: contraction of associative products
A. Ibort, V. I. Man'ko, G. Marmo +3
The quantum-to-classical transition is considered from the point of view of contractions of associative algebras. Various methods and ideas to deal with contractions of associative…
Determination of the s-wave Scattering Length of Chromium
P. O. Schmidt, S. Hensler, J. Werner +4
We have measured the deca-triplet s-wave scattering length of the bosonic chromium isotopes Cr and Cr. From the time constants for cross-dimensional thermalization in…
Semigroup of positive maps for qudit states and entanglement in tomographic probability representation
V. I. Man'ko, G. Marmo, A. Simoni +1
Stochastic and bistochastic matrices providing positive maps for spin states (for qudits) are shown to form semigroups with dense intersection with the Lie groups $IGL(n, \mathbb{R…
Alternative Algebraic Structures from Bi-Hamiltonian Quantum Systems
G. Marmo, G. Scolarici, A. Simoni +1
We discuss the alternative algebraic structures on the manifold of quantum states arising from alternative Hermitian structures associated with quantum bi-Hamiltonian systems. We a…
Quantum Systems and Alternative Unitary Descriptions
G. Marmo, A. Simoni, F. Ventriglia
Motivated by the existence of bi-Hamiltonian classical systems and the correspondence principle, in this paper we analyze the problem of finding Hermitian scalar products which tur…