Statistical mechanics

Phase diagram of the topologically frustrated XY chain

Landau theory’s implicit assumption that microscopic details cannot affect the global phases has been challenged only recently in systems such as antiferromagnetic quantum spin chains with periodic boundary conditions. The new paradigm of topological …

Complexity of frustration: a new source of non-local non-stabilizerness

We advance the characterization of complexity in quantum many-body systems by examining W-states embedded in a spin chain. Such states show an amount of non-stabilizerness or "magic", measured as the Stabilizer Rényi Entropy, that grows …

Random unitaries, Robustness, and Complexity of Entanglement

It is widely accepted that the dynamic of entanglement in presence of a generic circuit can be predicted by the knowledge of the statistical properties of the entanglement spectrum. We tested this assumption by applying a Metropolis-like entanglement …

Rewiring driven evolution of quenched frustrated signed network

A framework for studying the behavior of a classically frustrated signed network in the process of random rewiring is developed. We describe jump probabilities for change in frustration and formulate a theoretical estimate in terms of the master …

Anomalous diffusion in the Long-Range Haken-Strobl-Reineker model

We analyze the propagation of excitons in a d-dimensional lattice with power-law hopping ∝1/r^α in the presence of dephasing, described by a generalized Haken-Strobl-Reineker model. We show that in the strong dephasing (quantum Zeno) regime the …

Simulating continuous symmetry models with discrete ones

Especially in one dimension, models with discrete and continuous symmetries display different physical properties, starting from the existence of long-range order. In this work, we that, by adding topological frustration, an antiferromagnetic XYZ …

Odd thermodynamic limit for the Loschmidt echo

Is it possible to readily distinguish a system made by an Avogadro's number of identical elements and one with a single additional one? Usually, the answer to this question is negative but, in this work, we show that in antiferromagnetic quantum spin …

Topological Frustration can modify the nature of a Quantum Phase Transition

Ginzburg-Landau theory of continuous phase transitions implicitly assumes that microscopic changes are negligible in determining the thermodynamic properties of the system. In this work we provide an example that clearly contrasts with this …

Fate of local order in topologically frustrated spin chains

It has been recently shown that the presence of topological frustration, induced by periodic boundary conditions in an antiferromagnetic XY chain made of an odd number of spins, prevents the realization of a perfectly staggered local order. Starting …

Local Convertibility in quantum spin systems

Local Convertibility refers to the possibility of transforming a given state into a target one, just by means of LOCC with respect to a given bipartition of the system and it is possible if and only if all the Renyi-entropies of the initial state are …