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20122026
most citedNegative Temperature States in the Discrete Nonlinear Schroedinger Equation

63 citations · 707 across the 45 of their papers we have counts for

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32 papers · 1 filter

cond-mat.stat-mech2026

Thermodynamics of photonic nonlinear Aharonov-Bohm cages

Stefano Iubini, Carlo Danieli

We investigate equilibrium and non-equilibrium thermodynamics of one-dimensional photonic diamond lattices with Kerr nonlinearity. The equilibrium phase diagram is obtained as a fu…

cond-mat.stat-mech2026

Dephasing-induced relaxation in tight-binding chains with linear and nonlinear defects

Debraj Das, Andrea Gambassi, Stefano Iubini +1

We investigate thermalization in a tight-binding chain with an on-site defect subject to local dephasing noise implemented as random phase kicks. For a single linear defect of stre…

cond-mat.stat-mech2025

Mean-field theory of the DNLS equation at positive and negative absolute temperatures

Michele Giusfredi, Stefano Iubini, Antonio Politi +1

The Discrete Non Linear Schrödinger (DNLS) model, due to the existence of two conserved quantities, displays an equilibrium transition between a homogeneous phase at positive absol…

cond-mat.stat-mech2025

Infinite-temperature thermostats by energy localization in a nonequilibrium setup

Michele Giusfredi, Stefano Iubini, Antonio Politi +1

Some lattice models having two conservation laws may display an equilibrium phase transition from a homogeneous (positive temperature - PT) to a condensed (negative temperature) ph…

cond-mat.stat-mech2025

Localization and "classical entanglement'' in the Discrete Non-Linear Schrödinger Equation

Martina Giachello, Stefano Iubini, Roberto Livi +1

We perform a detailed numerical study of the very peculiar thermodynamic properties of the localized high-energy phase of the Discrete Non-Linear Schrödinger Equation (DNLSE). A nu…

cond-mat.stat-mech2024

Effective grand-canonical description of condensation in negative-temperature regimes

Stefano Iubini, Antonio Politi

The observation of negative-temperature states in the localized phase of the Discrete Nonlinear Schrödinger (DNLS) equation has challenged statistical mechanics for a long time. Fo…

cond-mat.stat-mech2024★ 3 cited

Localization in boundary-driven lattice models

Michele Giusfredi, Stefano Iubini, Paolo Politi

Several systems display an equilibrium condensation transition, where a finite fraction of a conserved quantity is spatially localized. The presence of two conservation laws may in…

cond-mat.stat-mech2023★ 2 cited

Onsager coefficients in a coupled-transport model displaying a condensation transition

Stefano Iubini, Antonio Politi, Paolo Politi

We study nonequilibrium steady states of a one-dimensional stochastic model, originally introduced as an approximation of the Discrete Nonlinear Schrödinger equation. This model is…

cond-mat.stat-mech2023★ 1 cited

Relaxation dynamics and finite-size effects in a simple model of condensation

Gabriele Gotti, Stefano Iubini, Paolo Politi

We consider a simple, purely stochastic model characterized by two conserved quantities (mass density and energy density ) which is known to display a condensation transitio…

cond-mat.stat-mech2022★ 6 cited

Condensation induced by coupled transport processes

Gabriele Gotti, Stefano Iubini, Paolo Politi

Several lattice models display a condensation transition in real space when the density of a suitable order parameter exceeds a critical value. We consider one of such models with…

cond-mat.stat-mech2022

Frozen dynamics of a breather induced by an adiabatic invariant

Antonio Politi, Paolo Politi, Stefano Iubini

The Discrete Nonlinear Schrödinger (DNLS) equation is a Hamiltonian model displaying an extremely slow relaxation process when discrete breathers appear in the system. In [Iubini S…

cond-mat.stat-mech2021★ 7 cited

Hydrodynamics and transport in the long-range-interacting chain

Stefano Iubini, Stefano Lepri, Stefano Ruffo

We present a simulation study of the one-dimensional lattice theory with long-range interactions decaying as an inverse power of the intersite distance , $σ>0…

cond-mat.stat-mech2021★ 28 cited

Condensation transition and ensemble inequivalence in the Discrete Nonlinear Schrödinger Equation

Giacomo Gradenigo, Stefano Iubini, Roberto Livi +1

The thermodynamics of the discrete nonlinear Schrödinger equation in the vicinity of infinite temperature is explicitly solved in the microcanonical ensemble by means of large-devi…

cond-mat.stat-mech2021★ 60 cited

Statistical Mechanics of Systems with Negative Temperature

Marco Baldovin, Stefano Iubini, Roberto Livi +1

Do negative absolute temperatures matter physics and specifically Statistical Physics? We provide evidence that we can certainly answer positively to this vexata quaestio. The grea…

cond-mat.stat-mech2021★ 6 cited

Negative-temperature Fourier transport in one-dimensional systems

Marco Baldovin, Stefano Iubini

We investigate nonequilibrium steady states in a class of one-dimensional diffusive systems that can attain negative absolute temperatures. The cases of a paramagnetic spin system,…

cond-mat.stat-mech2020★ 14 cited

Finite-size localization scenarios in condensation transitions

Gabriele Gotti, Stefano Iubini, Paolo Politi

We consider the phenomenon of condensation of a globally conserved quantity distributed on sites, occurring when the density exceeds a critical de…

cond-mat.stat-mech2020

Dephasing-assisted macrospin transport

S. Iubini, S. Borlenghi, A. Delin +2

Transport phenomena are ubiquitous in physics, and it is generally understood that the environmental disorder and noise deteriorates the transfer of excitations. There are however…

cond-mat.stat-mech2019★ 41 cited

Localization transition in the Discrete Non-Linear Schrödinger Equation: ensembles inequivalence and negative temperatures

Giacomo Gradenigo, Stefano Iubini, Roberto Livi +1

We present a detailed account of a first-order localization transition in the Discrete Nonlinear Schrödinger Equation, where the localized phase is associated to the high energy re…

cond-mat.stat-mech2019★ 6 cited

Coupled transport in a linear-stochastic Schrödinger Equation

Stefano Iubini

I study heat and norm transport in a one-dimensional lattice of linear Schrödinger oscillators with conservative stochastic perturbations. Its equilibrium properties are the same o…

cond-mat.stat-mech2019★ 10 cited

Rate dependence of current and fluctuations in jump models with negative differential mobility

Gianluca Teza, Stefano Iubini, Marco Baiesi +2

Negative differential mobility is the phenomenon in which the velocity of a particle decreases when the force driving it increases. We study this phenomenon in Markov jump models w…

cond-mat.stat-mech2019★ 26 cited

Equilibrium time-correlation functions of the long-range interacting Fermi-Pasta-Ulam model

Pierfrancesco Di Cintio, Stefano Iubini, Stefano Lepri +1

We present a numerical study of dynamical correlations (structure factors) of the long-range generalization of the Fermi-Pasta-Ulam oscillator chain, where the strength of the inte…

cond-mat.stat-mech2018★ 44 cited

Dynamical freezing of relaxation to equilibrium

Stefano Iubini, Liviu Chirondojan, Gian-Luca Oppo +2

We provide evidence of an extremely slow thermalization occurring in the Discrete NonLinear Schrödinger (DNLS) model. At variance with many similar processes encountered in statist…

cond-mat.stat-mech2017★ 49 cited

Heat transport in oscillator chains with long-range interactions coupled to thermal reservoirs

Stefano Iubini, Pierfrancesco Di Cintio, Stefano Lepri +2

We investigate thermal conduction in arrays of long-range interacting rotors and Fermi-Pasta-Ulam (FPU) oscillators coupled to two reservoirs at different temperatures. The strengt…

cond-mat.stat-mech2017★ 30 cited

A Chain, a Bath, a Sink and a Wall

Stefano Iubini, Stefano Lepri, Roberto Livi +2

We investigate out-of-equilibrium stationary processes emerging in a Discrete Nonlinear Schroedinger chain in contact with a heat reservoir (a bath) at temperature and a pure…