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Open access
Sep 2026
Hermitian hamiltonians and imaginary eigenvalues beyond the Hilbert space
In a quantum system initially in the $n$-th eigenstate, an adiabatic evolution of the Hamiltonian ensures that the system remains in the corresponding instantaneous eigenstate while acquiring a phase factor. This phase has two components: one resulting from standard time evolution and another associated with the depend...
Mustapha Maamache
· Revista mexicana de física · 0 citations
Preprint
Aug 2026
Fluctuation-dissipation structure of quantum geometry
The geometry of quantum states is a fundamental research area with applications ranging from band theory in condensed matter to variational algorithms in quantum information. Due to their relative simplicity, pure states are usually studied, while mixed ones are needed in general, for instance to allow for finite tempe...
Per Moosavi
· 0 citations
Preprint
Sep 2026
Theory of post-selected entanglement transitions in monitored bosons
Entanglement phase transitions driven by quantum measurements have emerged as a central paradigm in open quantum many-body physics. Such phase transitions are well established for systems with finite local Hilbert-space dimensions, such as qubits and fermions, while their realization in bosonic systems with unbounded l...
I. Komissarov, Emanuele G. Dalla Torre, Ahana Chakraborty
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Preprint
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Quantum Dynamics of Probe Particles in Thermal Fields and the Emergence of Stochastic Dynamics
Starting from a general Hamiltonian describing the quantum dynamics of probe particles interacting with a set of environment degrees of freedom, we derive the quantum master equation with which the reduced density matrix of a probe particle evolves, the general equilibration condition that they satisfy when the environ...
Bruno Scheihing-Hitschfeld
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Preprint
Aug 2026
A semiclassical Hilbert space for random matrix theory
We study the one-sided time evolution of thermofield double (TFD) states in random matrix theory, where the Hamiltonian is taken to be a $D\times D$ random matrix drawn from a unitarily invariant emsemble of Hermitian matrices. We argue that the Krylov basis with the maximally entangled state taken as the initial vecto...
Abhirup Bhattacharya, Onkar Parrikar, Vivek Singh
· 1 citation
Open access
Aug 2026
N-bein formalism for degenerate states in the parameter space of quantum geometry
Recently, we introduced a geometric object analogous to an orthonormal frame in the Cartan formalism to study the parameter space of quantum systems; we called it N-bein, with N being the number of parameters that characterize the quantum system. Acting as the ‘square root’ of the quantum geometric tensor (QGT), the N-...
Jorge Romero, Carlos A. Velasquez, J. Vergara
· Journal of Physics A: Mathem... · 0 citations