skip to main content
OSTI.GOV title logo U.S. Department of Energy
Office of Scientific and Technical Information

Title: Linear-algebraic bath transformation for simulating complex open quantum systems

; ; ; ;
Publication Date:
Research Org.:
Energy Frontier Research Centers (EFRC) (United States). Center for Excitonics (CE)
Sponsoring Org.:
USDOE Office of Science (SC), Basic Energy Sciences (BES) (SC-22)
OSTI Identifier:
DOE Contract Number:  
Resource Type:
Journal Article
Journal Name:
New Journal of Physics
Additional Journal Information:
Journal Volume: 16; Journal Issue: 12; Related Information: CE partners with Massachusetts Institute of Technology (lead); Brookhaven National Laboratory; Harvard University; Journal ID: ISSN 1367-2630
IOP Publishing
Country of Publication:
United States
solar (photovoltaic), solid state lighting, photosynthesis (natural and artificial), charge transport, optics, synthesis (novel materials), synthesis (self-assembly), synthesis (scalable processing)

Citation Formats

Huh, Joonsuk, Mostame, Sarah, Fujita, Takatoshi, Yung, Man-Hong, and Aspuru-Guzik, Alán. Linear-algebraic bath transformation for simulating complex open quantum systems. United States: N. p., 2014. Web. doi:10.1088/1367-2630/16/12/123008.
Huh, Joonsuk, Mostame, Sarah, Fujita, Takatoshi, Yung, Man-Hong, & Aspuru-Guzik, Alán. Linear-algebraic bath transformation for simulating complex open quantum systems. United States. doi:10.1088/1367-2630/16/12/123008.
Huh, Joonsuk, Mostame, Sarah, Fujita, Takatoshi, Yung, Man-Hong, and Aspuru-Guzik, Alán. Mon . "Linear-algebraic bath transformation for simulating complex open quantum systems". United States. doi:10.1088/1367-2630/16/12/123008.
title = {Linear-algebraic bath transformation for simulating complex open quantum systems},
author = {Huh, Joonsuk and Mostame, Sarah and Fujita, Takatoshi and Yung, Man-Hong and Aspuru-Guzik, Alán},
abstractNote = {},
doi = {10.1088/1367-2630/16/12/123008},
journal = {New Journal of Physics},
issn = {1367-2630},
number = 12,
volume = 16,
place = {United States},
year = {2014},
month = {12}

Works referenced in this record:

Numerical Renormalization Group for Bosonic Systems and Application to the Sub-Ohmic Spin-Boson Model
journal, October 2003

Numerical renormalization group for quantum impurities in a bosonic bath
journal, January 2005

Atomistic Study of Energy Funneling in the Light-Harvesting Complex of Green Sulfur Bacteria
journal, January 2014

  • Huh, Joonsuk; Saikin, Semion K.; Brookes, Jennifer C.
  • Journal of the American Chemical Society, Vol. 136, Issue 5
  • DOI: 10.1021/ja412035q

Quantum Dynamics of System Strongly Coupled to Low-Temperature Colored Noise Bath: Reduced Hierarchy Equations Approach
journal, December 2005

  • Ishizaki, Akihito; Tanimura, Yoshitaka
  • Journal of the Physical Society of Japan, Vol. 74, Issue 12
  • DOI: 10.1143/JPSJ.74.3131

Theoretical examination of quantum coherence in a photosynthetic system at physiological temperature
journal, October 2009

  • Ishizaki, A.; Fleming, G. R.
  • Proceedings of the National Academy of Sciences, Vol. 106, Issue 41
  • DOI: 10.1073/pnas.0908989106

High-Performance Solution of Hierarchical Equations of Motion for Studying Energy Transfer in Light-Harvesting Complexes
journal, June 2011

  • Kreisbeck, Christoph; Kramer, Tobias; Rodríguez, Mirta
  • Journal of Chemical Theory and Computation, Vol. 7, Issue 7
  • DOI: 10.1021/ct200126d

Open System Dynamics with Non-Markovian Quantum Trajectories
journal, March 1999

Stochastic simulation of dissipation and non-Markovian effects in open quantum systems
journal, April 2008

Derivation of exact master equation with stochastic description: Dissipative harmonic oscillator
journal, November 2011

Nonperturbative stochastic method for driven spin-boson model
journal, January 2013

Exact mapping between system-reservoir quantum models and semi-infinite discrete chains using orthogonal polynomials
journal, September 2010

  • Chin, Alex W.; Rivas, Ángel; Huelga, Susana F.
  • Journal of Mathematical Physics, Vol. 51, Issue 9
  • DOI: 10.1063/1.3490188

Efficient Simulation of Strong System-Environment Interactions
journal, July 2010

Generalized Polaron Ansatz for the Ground State of the Sub-Ohmic Spin-Boson Model: An Analytic Theory of the Localization Transition
journal, October 2011

Exciton transfer dynamics and quantumness of energy transfer in the Fenna-Matthews-Olson complex
journal, October 2011

The renormalization group: Critical phenomena and the Kondo problem
journal, October 1975

Effect of friction on electron transfer in biomolecules
journal, November 1985

  • Garg, Anupam; Onuchic, José Nelson; Ambegaokar, Vinay
  • The Journal of Chemical Physics, Vol. 83, Issue 9
  • DOI: 10.1063/1.449017

Collective electronic oscillators for nonlinear optical response of conjugated molecules
journal, August 1996

A Continued-Fraction Representation of the Time-Correlation Functions
journal, September 1965

Moment and Continued Fraction Expansions of Time Autocorrelation Functions
journal, March 1967

Phonon thermal baths: A treatment in terms of reduced models
journal, April 1982

Non-Markovian reduced dynamics based upon a hierarchical effective-mode representation
journal, October 2012

  • Burghardt, Irene; Martinazzo, Rocco; Hughes, Keith H.
  • The Journal of Chemical Physics, Vol. 137, Issue 14
  • DOI: 10.1063/1.4752078

Exciton dissociation at donor-acceptor heterojunctions: Dynamics using the collective effective mode representation of the spin-boson model
journal, January 2014

  • Chenel, Aurélie; Mangaud, Etienne; Burghardt, Irene
  • The Journal of Chemical Physics, Vol. 140, Issue 4
  • DOI: 10.1063/1.4861853

Chain-boson model for the decoherence and relaxation of a few coupled SQUIDs in a phonon bath
journal, July 2008

Application of the coherent state formalism to multiply excited states
journal, June 2005

Simulating physics with computers
journal, June 1982

  • Feynman, Richard P.
  • International Journal of Theoretical Physics, Vol. 21, Issue 6-7
  • DOI: 10.1007/BF02650179

Quantum mechanical computers
journal, June 1986

Universal Quantum Simulators
journal, August 1996

Quantum Simulators
journal, October 2009

On-chip quantum simulation with superconducting circuits
journal, April 2012

  • Houck, Andrew A.; Türeci, Hakan E.; Koch, Jens
  • Nature Physics, Vol. 8, Issue 4
  • DOI: 10.1038/nphys2251

Quantum simulator of an open quantum system using superconducting qubits: exciton transport in photosynthetic complexes
journal, October 2012

A scalable quantum computer with ions in an array of microtraps
journal, April 2000

Analog superconducting quantum simulator for Holstein polarons
journal, December 2013

Digital Quantum Simulation of Spin Systems in Superconducting Circuits
journal, May 2014

Transmon-based simulator of nonlocal electron-phonon coupling: A platform for observing sharp small-polaron transitions
journal, April 2014

  • Stojanović, Vladimir M.; Vanević, Mihajlo; Demler, Eugene
  • Physical Review B, Vol. 89, Issue 14
  • DOI: 10.1103/PhysRevB.89.144508

Analogue of Cosmological Particle Creation in an Ion Trap
journal, November 2007

Quantum Simulation of the Klein Paradox with Trapped Ions
journal, February 2011

Quantum Simulation of Quantum Field Theories in Trapped Ions
journal, December 2011

Quantum Simulation of the Majorana Equation and Unphysical Operations
journal, December 2011

Quantum Simulation of Interacting Fermion Lattice Models in Trapped Ions
journal, May 2012

Quantum simulations with trapped ions
journal, April 2012

Quantum Simulation of Small-Polaron Formation with Trapped Ions
journal, December 2012

Quantum simulation of dynamical maps with trapped ions
journal, May 2013

  • Schindler, P.; Müller, M.; Nigg, D.
  • Nature Physics, Vol. 9, Issue 6
  • DOI: 10.1038/nphys2630

Towards quantum chemistry on a quantum computer
journal, January 2010

  • Lanyon, B. P.; Whitfield, J. D.; Gillett, G. G.
  • Nature Chemistry, Vol. 2, Issue 2
  • DOI: 10.1038/nchem.483

Quantum simulator for the Schwinger effect with atoms in bichromatic optical lattices
journal, November 2011

Tunable Holstein model with cold polar molecules
journal, November 2011

Photonic quantum simulators
journal, April 2012

  • Aspuru-Guzik, Alán; Walther, Philip
  • Nature Physics, Vol. 8, Issue 4
  • DOI: 10.1038/nphys2253

Quantum simulations with ultracold quantum gases
journal, April 2012

  • Bloch, Immanuel; Dalibard, Jean; Nascimbène, Sylvain
  • Nature Physics, Vol. 8, Issue 4
  • DOI: 10.1038/nphys2259

NMR Implementation of a Molecular Hydrogen Quantum Simulation with Adiabatic State Preparation
journal, January 2010

Simulation of Chemical Isomerization Reaction Dynamics on a NMR Quantum Simulator
journal, July 2011

Accounting for intra-molecular vibrational modes in open quantum system description of molecular systems
journal, November 2012

  • Roden, Jan; Strunz, Walter T.; Whaley, K. Birgitta
  • The Journal of Chemical Physics, Vol. 137, Issue 20
  • DOI: 10.1063/1.4765329

Experimental simulation of quantum tunneling in small systems
journal, August 2013

  • Feng, Guan-Ru; Lu, Yao; Hao, Liang
  • Scientific Reports, Vol. 3, Issue 1
  • DOI: 10.1038/srep02232

Quantum simulator for the O(3) nonlinear sigma model
journal, September 2005

  • Schützhold, R.; Mostame, S.
  • Journal of Experimental and Theoretical Physics Letters, Vol. 82, Issue 5
  • DOI: 10.1134/1.2130906

Quantum Simulator for the Ising Model with Electrons Floating on a Helium Film
journal, November 2008

Collective coordinates for nuclear spectral densities in energy transfer and femtosecond spectroscopy of molecular aggregates
journal, September 1996

  • Chernyak, Vladimir; Mukamel, Shaul
  • The Journal of Chemical Physics, Vol. 105, Issue 11
  • DOI: 10.1063/1.472302

Exact master equation and quantum decoherence of two coupled harmonic oscillators in a general environment
journal, January 2008

Quantum Phase Transitions in the Sub-Ohmic Spin-Boson Model: Failure of the Quantum-Classical Mapping
journal, February 2005

Memory-Assisted Exciton Diffusion in the Chlorosome Light-Harvesting Antenna of Green Sulfur Bacteria
journal, August 2012

  • Fujita, Takatoshi; Brookes, Jennifer C.; Saikin, Semion K.
  • The Journal of Physical Chemistry Letters, Vol. 3, Issue 17
  • DOI: 10.1021/jz3008326

Theoretical characterization of excitation energy transfer in chlorosome light-harvesting antennae from green sulfur bacteria
journal, February 2014

  • Fujita, Takatoshi; Huh, Joonsuk; Saikin, Semion K.
  • Photosynthesis Research, Vol. 120, Issue 3
  • DOI: 10.1007/s11120-014-9978-7

On the alternatives for bath correlators and spectral densities from mixed quantum-classical simulations
journal, December 2012

  • Valleau, Stéphanie; Eisfeld, Alexander; Aspuru-Guzik, Alán
  • The Journal of Chemical Physics, Vol. 137, Issue 22
  • DOI: 10.1063/1.4769079

Effective-mode representation of non-Markovian dynamics: A hierarchical approximation of the spectral density. I. Application to single surface dynamics
journal, July 2009

  • Hughes, Keith H.; Christ, Clara D.; Burghardt, Irene
  • The Journal of Chemical Physics, Vol. 131, Issue 2
  • DOI: 10.1063/1.3159671

    Works referencing / citing this record:

    Universal bound on sampling bosons in linear optics and its computational implications
    journal, April 2019

    • Yung, Man-Hong; Gao, Xun; Huh, Joonsuk
    • National Science Review, Vol. 6, Issue 4
    • DOI: 10.1093/nsr/nwz048