84 citations · 184 across the 8 of their papers we have counts for
8 papers
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…
Conditions for Unitarity in Timeless Quantum Theory
Simone Rijavec
Quantum timeless approaches solve the problem of time by recovering the usual unitary evolution of quantum theory relative to a clock in a stationary quantum Universe. For some Ham…
Driven-Dissipative Bose-Einstein Condensation and the Upper Critical Dimension
Yikang Zhang, Thomas Barthel
Driving and dissipation can stabilize Bose-Einstein condensates. Using Keldysh field theory, we analyze this phenomenon for Markovian systems that can comprise on-site two-particle…
Criteria for Davies Irreducibility of Markovian Quantum Dynamics
Yikang Zhang, Thomas Barthel
The dynamics of Markovian open quantum systems are described by Lindblad master equations, generating a quantum dynamical semigroup. An important concept for such systems is (Davie…
Criticality and Phase Classification for Quadratic Open Quantum Many-Body Systems
Yikang Zhang, Thomas Barthel
We study the steady states of translation-invariant open quantum many-body systems governed by Lindblad master equations, where the Hamiltonian is quadratic in the ladder operators…
Solving quasi-free and quadratic Lindblad master equations for open fermionic and bosonic systems
Thomas Barthel, Yikang Zhang
The dynamics of Markovian open quantum systems are described by Lindblad master equations. For fermionic and bosonic systems that are quasi-free, i.e., with Hamiltonians that are q…
Super-operator structures and no-go theorems for dissipative quantum phase transitions
Thomas Barthel, Yikang Zhang
In the thermodynamic limit, the steady states of open quantum many-body systems can undergo nonequilibrium phase transitions due to a competition between coherent and driven-dissip…
Optimized Lie-Trotter-Suzuki decompositions for two and three non-commuting terms
Thomas Barthel, Yikang Zhang
Lie-Trotter-Suzuki decompositions are an efficient way to approximate operator exponentials when is a sum of (non-commuting) terms which, individually, can be e…