18.10.+b System-bath interaction (harmonic bath, spin bath)

Power laws in the dynamic hysteresis of quantum nonlinear photonic resonators

Date: 
2016-03-10
Author(s): 

W. Casteels, F. Storme, A. Le Boité, and C. Ciuti

Reference: 

Phys. Rev. A 93, 033824 (2016)

We explore theoretically the physics of dynamic hysteresis for driven-dissipative nonlinear photonic resonators.

Truncated correlation hierarchy schemes for driven-dissipative multimode quantum systems

Date: 
2016-05-03
Author(s): 

Wim Casteels, Stefano Finazzi, Alexandre Le Boité, Florent Storme, Cristiano Ciuti

Reference: 

arXiv:1605.00882

We present a method to describe driven-dissipative multi-mode systems by considering a truncated hierarchy of equations for the correlation functions.

Simulating Bosonic Baths with Error Bars

Date: 
2015-05-19 - 2015-09-22
Author(s): 

M. P. Woods, M. Cramer, and M. B. Plenio

Reference: 

Phys. Rev. Lett. 115, 130401

We derive rigorous truncation-error bounds for the spin-boson model and its generalizations to arbitrary quantum systems interacting with bosonic baths. For the numerical simulation of such baths, the truncation of both the number of modes and the local Hilbert-space dimensions is necessary. We derive superexponential Lieb-Robinson-type bounds on the error when restricting the bath to finitely many modes and show how the error introduced by truncating the local Hilbert spaces may be efficiently monitored numerically.

Dynamical error bounds for continuum discretisation via Gauss quadrature rules—A Lieb-Robinson bound approach

Date: 
2015-11-04 - 2016-02-08
Author(s): 

M. P. Woods and M. B. Plenio

Reference: 

J. Math. Phys. 57, 022105 (2016)

Instances of discrete quantum systems coupled to a continuum of oscillators are ubiquitous in physics. Often the continua are approximated by a discrete set of modes. We derive error bounds on expectation values of system observables that have been time evolved under such discretised Hamiltonians. These bounds take on the form of a function of time and the number of discrete modes, where the discrete modes are chosen according to Gauss quadrature rules. The derivation makes use of tools from the field of Lieb-Robinson bounds and the theory of orthonormal polynomials.

Cluster mean-field approach to the steady-state phase diagram of dissipative spin systems

Date: 
2016-02-21
Author(s): 

Jiasen Jin, Alberto Biella, Oscar Viyuela, Leonardo Mazza, Jonathan Keeling, Rosario Fazio, and Davide Rossini

Reference: 

arXiv:1602.06553

We show that short-range correlations have a dramatic impact on the steady-state phase diagram of quantum driven-dissipative systems. This effect, never observed in equilibrium, follows from the fact that ordering in the steady state is of dynamical origin, and is established only at very long time, whereas in thermodynamic equilibrium it arises from the properties of the (free-)energy. Tiny correlations may be amplified in the dynamics and therefore have a strong impact in the steady state.

Transitionless quantum driving in open quantum systems

Date: 
2014-05-16
Author(s): 

G. Vacanti, R. Fazio, S. Montangero, G. M. Palma, M. Paternostro, V. Vedral

Reference: 

New J. Phys. 16 053017 (2014)
http://dx.doi.org/10.1088/1367-2630/16/5/053017

We extend the concept of superadiabatic dynamics, or transitionless quantum driving, to quantum open systems whose evolution is governed by a master equation in the Lindblad form. We provide the general framework needed to determine the control strategy required to achieve superadiabaticity. We apply our formalism to two examples consisting of a two-level system coupled to environments with time-dependent bath operators.

Efficiency of quantum controlled non-Markovian thermalization

Date: 
2015-06-23
Author(s): 

V. Mukherjee, V. Giovannetti, R. Fazio, S. F. Huelga, T. Calarco, S. Montangero

Reference: 

New J. Phys. 17 063031 (2015)
http://dx.doi.org/10.1088/1367-2630/17/6/063031

We study optimal control strategies to optimize the relaxation rate towards the fixed point of a quantum system in the presence of a non-Markovian (NM) dissipative bath. Contrary to naive expectations that suggest that memory effects might be exploited to improve optimal control effectiveness, NM effects influence the optimal strategy in a non trivial way: we present a necessary condition to be satisfied so that the effectiveness of optimal control is enhanced by NM subject to suitable unitary controls.

Quantum Non-Markovianity: Characterization, Quantification and Detection

Date: 
2014-05-16 - 2014-08-21
Author(s): 

Á. Rivas, S. F. Huelga, M. B. Plenio

Reference: 

Reports on Progress in Physics, Volume 77, Number 9

We present a comprehensive and up to date review on the concept of quantum non-Markovianity, a central theme in the theory of open quantum systems. We introduce the concept of quantum Markovian process as a generalization of the classical definition of Markovianity via the so-called divisibility property and relate this notion to the intuitive idea that links non-Markovianity with the persistence of memory effects. A detailed comparison with other definitions presented in the literature is provided.

Realistic and verifiable coherent control of excitonic states in a light harvesting complex

Date: 
2013-07-18 - 2014-01-20
Author(s): 

Stephan Hoyer, Filippo Caruso, Simone Montangero, Mohan Sarovar, Tommaso Calarco, Martin B. Plenio and K. Birgitta Whaley

Reference: 

New Journal of Physics 16, 045007 (2014)

We explore the feasibility of coherent control of excitonic dynamics in light harvesting complexes, analyzing the limits imposed by the open nature of these quantum systems. We establish feasible targets for phase and phase/amplitude control of the electronically excited state populations in the Fenna-Mathews-Olson (FMO) complex and analyze the robustness of this control with respect to orientational and energetic disorder, as well as decoherence arising from coupling to the protein environment.

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