6 papers
Conditional-path Monte Carlo for rare stochastic dynamics on networks: Details and derivations
Thomas Barthel, Jiazheng Sun, Jhao-Hong Peng
The simulation of rare macroscopic events in stochastic network dynamics, such as widespread epidemic outbreaks, cascading failures in communication networks, or the escape from me…
Non-Gaussian Phase Transition and Cascade of Instabilities in the Dissipative Quantum Rabi Model
Mingyu Kang, Yikang Zhang, Kenneth R. Brown +1
The open quantum Rabi model describes a two-level system coupled to a harmonic oscillator. A Gaussian phase transition for the nonequilibrium steady states has been predicted when…
A direct algebraic proof for the non-positivity of Liouvillian spectral values and controlling the dissipative gap of systems with normal Lindblad operators
Yikang Zhang, Thomas Barthel
Markovian open quantum systems are described by the Lindblad master equation , where denotes the system's density operator and the Lio…
Cost scaling of MPS and TTNS simulations for 2D and 3D systems with area-law entanglement
Thomas Barthel
Tensor network states are an indispensable tool for the simulation of strongly correlated quantum many-body systems. In recent years, tree tensor network states (TTNS) have been su…
Tree tensor network states represent low-energy states faithfully
Thomas Barthel
Extending corresponding results for matrix product states [Verstraete and Cirac, PRB 73, 094423 (2006); Schuch et al. PRL 100, 030504 (2008)], it is shown how the approximation err…
Nonequilibrium steady-state dynamics of Markov processes on graphs
Stefano Crotti, Thomas Barthel, Alfredo Braunstein
We propose an analytic approach for the steady-state dynamics of Markov processes on locally tree-like graphs. It is based on time-translation invariant probability distributions f…