- Open Access
Quantum-resource-theoretical analysis of the role of vibrational structure in photoisomerization
Phys. Rev. A 112, 032440 – Published 29 September, 2025
DOI: https://doi.org/10.1103/ws4m-rt7y
Abstract
Thermodynamical systems at the nanoscale, such as single molecules interacting with highly structured vibrational environments, typically undergo nonequilibrium physical processes that lack precise microscopic descriptions. Photoisomerization is such an example, which has emerged as a platform on which to study single-molecule ultrafast photochemical processes from a quantum resource theoretic perspective. However, the upper bounds on its efficiency have only been obtained under significant simplifications that make the mathematics of the resource-theoretical treatment manageable. Here we generalize previous models for the photoisomers, while retaining the full vibrational structure, and still obtain analytical bounds on the efficiency of photoisomerization. We quantify the impact of such a vibrational structure on the optimal photoisomerization quantum yield both when the vibrational coordinate has no dynamics of its own and when we take into account the vibrational dynamics. This work serves as an example of how to bridge the gap between the abstract language of quantum resource theories and the open system formulation of nanoscale processes.
Physics Subject Headings (PhySH)
Article Text
References (35)
- B. Coecke, T. Fritz, and R. W. Spekkens, A mathematical theory of resources, Inf. Comput. 250, 59 (2016).
- E. Chitambar and G. Gour, Quantum resource theories, Rev. Mod. Phys. 91, 025001 (2019).
- E. Ruch and A. Mead, The principle of increasing mixing character and some of its consequences, Theor. Chim. Acta 41, 95 (1976).
- E. Ruch, R. Schranner, and T. H. Seligman, The mixing distance, J. Chem. Phys. 69, 386 (1978).
- D. Janzing, P. Wocjan, R. Zeier, R. Geiss, and T. Beth, Thermodynamic cost of reliability and low temperatures: Tightening Landauer's principle and the second law, Int. J. Theor. Phys. 39, 2717 (2000).
- M. Horodecki and J. Oppenheim, Fundamental limitations for quantum and nanoscale thermodynamics, Nat. Commun. 4, 2059 (2013).
- J. Goold, M. Huber, A. Riera, L. Del Rio, and P. Skrzypczyk, The role of quantum information in thermodynamics—a topical review, J. Phys. A: Math. Theor. 49, 143001 (2016).
- M. Lostaglio, An introductory review of the resource theory approach to thermodynamics, Rep. Prog. Phys. 82, 114001 (2019).
- N. H. Y. Ng and M. P. Woods, Resource theory of quantum thermodynamics: Thermal operations and second laws, in Thermodynamics in the Quantum Regime (Springer, New York, 2018), pp. 625–650.
- N. Yunger Halpern and D. T. Limmer, Fundamental limitations on photoisomerization from thermodynamic resource theories, Phys. Rev. A 101, 042116 (2020).
- G. Spaventa, S. F. Huelga, and M. B. Plenio, Capacity of non-Markovianity to boost the efficiency of molecular switches, Phys. Rev. A 105, 012420 (2022).
- M. Burkhard, O. Pusuluk, and T. Farrow, Boosting biomolecular switch efficiency with quantum coherence, Phys. Rev. A 110, 012411 (2024).
- D. C. Alyürük, M. H. Yeşiller, V. Vedral, and O. Pusuluk, Thermodynamic limits of the mpemba effect: A unified resource theory analysis, arXiv:2502.00123.
- K. Schulten, C. E. Swenberg, and A. Weller, A biomagnetic sensory mechanism based on magnetic field modulated coherent electron spin motion, Z. Physik. Chem. 111, 1 (1978).
- R. Croce, R. Van Grondelle, H. Van Amerongen, and I. Van Stokkum, Light Harvesting in Photosynthesis (CRC Press, Boca Raton, FL, 2018).
- D. Dattler, G. Fuks, J. Heiser, E. Moulin, A. Perrot, X. Yao, and N. Giuseppone, Design of collective motions from synthetic molecular switches, rotors, and motors, Chem. Rev. 120, 310 (2020).
- P. Nogly, T. Weinert, D. James, S. Carbajo, D. Ozerov, A. Furrer, D. Gashi, V. Borin, P. Skopintsev, K. Jaeger et al., Retinal isomerization in bacteriorhodopsin captured by a femtosecond x-ray laser, Science 361, eaat0094 (2018).
- L. Seidner and W. Domcke, Microscopic modelling of photoisomerization and internal-conversion dynamics, Chem. Phys. 186, 27 (1994).
- L. Seidner, G. Stock, and W. Domcke, Nonperturbative approach to femtosecond spectroscopy: General theory and application to multidimensional nonadiabatic photoisomerization processes, J. Chem. Phys. 103, 3998 (1995).
- S. Hahn and G. Stock, Quantum-mechanical modeling of the femtosecond isomerization in rhodopsin, J. Phys. Chem. B 104, 1146 (2000).
- S. Hahn and G. Stock, Ultrafast cis-trans photoswitching: A model study, J. Chem. Phys. 116, 1085 (2002).
- R. Silva, G. Manzano, P. Skrzypczyk, and N. Brunner, Performance of autonomous quantum thermal machines: Hilbert space dimension as a thermodynamical resource, Phys. Rev. E 94, 032120 (2016).
- M. B. Plenio and S. Virmani, An introduction to entanglement measures, Quant. Inf. Comput. 7, 1 (2007).
- R. Horodecki, P. Horodecki, M. Horodecki, and K. Horodecki, Quantum entanglement, Rev. Mod. Phys. 81, 865 (2009).
- A. de Oliveira, Jr., J. Son, J. Czartowski, and N. H. Y. Ng, Entanglement generation from athermality, Phys. Rev. Res. 6, 033236 (2024).
- J. Son and N. H. Y. Ng, Catalysis in action via elementary thermal operations, New J. Phys. 26, 033029 (2024).
- Y. Ding, F. Ding, and X. Hu, Exploring the gap between thermal operations and enhanced thermal operations, Phys. Rev. A 103, 052214 (2021).
- F. vom Ende, Which bath Hamiltonians matter for thermal operations? J. Math. Phys. 63, 112202 (2022).
- F. vom Ende, E. Malvetti, G. Dirr, and T. Schulte-Herbrüggen, Exploring the limits of controlled markovian quantum dynamics with thermal resources, Open Syst. Inf. Dyn. 30, 2350005 (2023).
- A. S. L. Malabarba, A. J. Short, and P. Kammerlander, Clock-driven quantum thermal engines, New J. Phys. 17, 045027 (2015).
- M. P. Woods, R. Silva, and J. Oppenheim, Autonomous quantum machines and finite-sized clocks, in Annales Henri Poincaré (Springer, New York, 2019), Vol. 20, pp. 125–218.
- D. Cilluffo, L. Lautenbacher, G. Spaventa, S. F. Huelga, and M. B. Plenio, Physically constrained quantum clock-driven dynamics, arXiv:2409.02857.
- L. Diósi, Hybrid completely positive Markovian quantum-classical dynamics, Phys. Rev. A 107, 062206 (2023).
- C. Chuang and P. Brumer, Steady state photoisomerization quantum yield of model rhodopsin: Insights from wavepacket dynamics? J. Phys. Chem. Lett. 13, 4963 (2022).
- M. Lostaglio, K. Korzekwa, and A. Milne, Markovian evolution of quantum coherence under symmetric dynamics, Phys. Rev. A 96, 032109 (2017).