419 citations · 2.6k across the 40 of their papers we have counts for
10 papers · 1 filter
Geometry of quantum dynamics in infinite dimension
Janusz Grabowski, Marek Kus, Giuseppe Marmo +1
We develop a geometric approach to quantum mechanics based on the concept of the Tulczyjew triple. Our approach is genuinely infinite-dimensional and including a Lagrangian formali…
Extremal spacings between eigenphases of random unitary matrices and their tensor products
Marek Smaczynski, Tomasz Tkocz, Marek Kus +1
Extremal spacings between eigenvalues of random unitary matrices of size N pertaining to circular ensembles are investigated. Explicit probability distributions for the minimal spa…
Segre maps and entanglement for multipartite systems of indistinguishable particles
Janusz Grabowski, Marek Kus, Giuseppe Marmo
We elaborate the concept of entanglement for multipartite system with bosonic and fermionic constituents and its generalization to systems with arbitrary parastatistics. The entang…
Entanglement for multipartite systems of indistinguishable particles
Janusz Grabowski, Marek Kus, Giuseppe Marmo
We analyze the concept of entanglement for multipartite system with bosonic and fermionic constituents and its generalization to systems with arbitrary parastatistics. We use the r…
Symplectic geometry of entanglement
Adam Sawicki, Alan Huckleberry, Marek Kuś
We present a description of entanglement in composite quantum systems in terms of symplectic geometry. We provide a symplectic characterization of sets of equally entangled states…
Wigner's Theorem and geometry of extreme positive maps
Janusz Grabowski, Marek Kus, Giuseppe Marmo
We consider transformation maps on the space of states which are symmetries in the sense of Wigner. Due to the convex nature of the space of states, the set of these maps has a con…
On the relation between states and maps in infinite dimensions
Janusz Grabowski, Marek Kus, Giuseppe Marmo
Relations between states and maps, which are known for quantum systems in finite-dimensional Hilbert spaces, are formulated rigorously in geometrical terms with no use of coordinat…
Level dynamics and the ten-fold way
Alan T. Huckleberry, Marek Kus, Patrick Schuetzdeller
We investigate the parameter dynamics of eigenvalues of Hamiltonians ('level dynamics') defined on symmetric spaces relevant for condensed matter and particle physics. In particula…
Constructing the classical limit for quantum systems on compact semisimple Lie algebras
I. Schafer, M. Kus
We give a general construction for the classical limit of a quantum system defined in terms of generators of an arbitrary compact semisimple Lie algebra, generalizing known results…
Symmetries, group actions, and entanglement
Janusz Grabowski, Marek Kus, Giuseppe Marmo
We address several problems concerning the geometry of the space of Hermitian operators on a finite-dimensional Hilbert space, in particular the geometry of the space of density st…