Simulating open quantum dynamics with time-dependent variational matrix product states: Towards microscopic correlation of environment dynamics and reduced system evolution

Schröder, Florian A. Y. N.; Chin, Alex W.

doi:10.1103/physrevb.93.075105

Cited by 119 publications

(130 citation statements)

References 55 publications

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“…This gives a computational advantage whenever the weight spectrum decays sufficiently fast. This concept has been used in exact diagonalization studies [15][16][17] and density matrix renormalization group algorithms [18][19][20][21][22] but also bears useful information about the equilibrium [14] and non-equilibrium physics [23] of such systems. In general, for systems with bosonic degrees of freedom, ρ (1) and hence also the single-site entanglement entropy can therefore harbor much more information than in fermionic or spin systems.…”

Section: Introductionmentioning

confidence: 99%

Properties of the single-site reduced density matrix in the Bose-Bose resonance model in the ground state and in quantum quenches

Dorfner

Heidrich-Meisner

2016

Phys. Rev. A

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We study properties of the single-site reduced density matrix in the Bose-Bose resonance model as a function of system parameters. This model describes a single-component Bose gas with a resonant coupling to a diatomic molecular state, here defined on a lattice. A main goal is to demonstrate that the eigenstates of the single-site reduced density matrix have structures that are characteristic for the various quantum phases of this system. Since the Hamiltonian conserves only the global particle number but not the number of bosons and molecules individually, these eigenstates, referred to as optimal modes, can be nontrivial linear combinations of bare eigenstates of the molecular and boson particle number. We numerically analyze the optimal modes and their weights, the latter giving the importance of the corresponding state, in the ground state of the BoseBose resonance model. We find that the single-site von Neumann entropy is sensitive to the location of the phase boundaries. We explain the structure of the optimal modes and their weight spectra using perturbation theory and via a comparison to results for the single-component Bose-Hubbard model. We further study the dynamical evolution of the optimal modes and of the single-site entanglement entropy in two quantum quenches that cross phase boundaries of the model and show that these quantities are thermal in the steady state. For our numerical calculations, we use the density matrix renormalization group method for ground-state calculations and time evolution in a Krylov subspace for the quench dynamics as well as exact diagonalization.

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Section: Introductionmentioning

confidence: 99%

Properties of the single-site reduced density matrix in the Bose-Bose resonance model in the ground state and in quantum quenches

Dorfner

Heidrich-Meisner

2016

Phys. Rev. A

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“…There exists a spectrum of techniques for dealing with non-Markovianity to varying degrees including master equations [19], quasiadiabatic path integrals [20,21], quantum Monte Carlo techniques [22,23], hierarchy equations of motion [24], multilayer [25] and multiconfiguration timedependent Hartree theory [26], time-dependent numerical [27] and density matrix [28] renormalization-group approaches, time-dependent variational matrix product states [29], and Dirac-Frenkel methods [30,31].…”

Section: Introductionmentioning

confidence: 99%

Coherent exciton dynamics in a dissipative environment maintained by an off-resonant vibrational mode

2016

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The interplay between an open quantum system and its environment can lead to both coherent and incoherent behavior. We explore the extent to which strong coupling to a single bosonic mode can alter the coherence properties of a two-level system in a structured environment. This mode is treated exactly, with the rest of the environment comprising a Markovian bath of bosonic modes. The strength of the coupling between the two-level system and the single mode is varied for a variety of forms for the bath spectral density in order to assess whether the coherent dynamics of the two-level system are modified. We find a clear renormalization of the site population oscillation frequency that causes an altered interaction with the bath. This leads to enhanced or reduced coherent behavior of the two-level system, depending on the form of the spectral density function. We present an intuitive interpretation, based on an analytical model, to explain the behavior.

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“…The dynamics of the spin-boson model has been studied by using various numerical methods [52][53][54][55][56][57][58]. However no systematic comparisons between analytical approximations and numerical simulations has been performed in the context of heat transport near thermal equilibrium.…”

Section: Numerical Results and Comparison With Analytical Formulasmentioning

confidence: 99%

Heat transport via a local two-state system near thermal equilibrium

et al. 2018

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Heat transport in spin-boson systems near the thermal equilibrium is systematically investigated. An asymptotically exact expression for the thermal conductance in a low-temperature regime wherein transport is described via a co-tunneling mechanism is derived. This formula predicts the power-law temperature dependence of thermal conductance µ + T s 2 1 for a thermal environment of spectral density with the exponent s. An accurate numerical simulation is performed using the quantum Monte Carlo method, and these predictions are confirmed for arbitrary thermal baths. Our numerical calculation classifies the transport mechanism, and shows that the non-interacting-blip approximation quantitatively describes thermal conductance in the incoherent transport regime.

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Simulating open quantum dynamics with time-dependent variational matrix product states: Towards microscopic correlation of environment dynamics and reduced system evolution

Cited by 119 publications

References 55 publications

Properties of the single-site reduced density matrix in the Bose-Bose resonance model in the ground state and in quantum quenches

Properties of the single-site reduced density matrix in the Bose-Bose resonance model in the ground state and in quantum quenches

Coherent exciton dynamics in a dissipative environment maintained by an off-resonant vibrational mode

Heat transport via a local two-state system near thermal equilibrium

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