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pro vyhledávání: '"Lovett A"'
We improve the best known upper bounds on the density of corner-free sets over quasirandom groups from inverse poly-logarithmic to quasi-polynomial. We make similarly substantial improvements to the best known lower bounds on the communication comple
Externí odkaz:
http://arxiv.org/abs/2411.02702
Autor:
Arnardottir, Kristin B., Fowler-Wright, Piper, Tserkezis, Christos, Lovett, Brendon W., Keeling, Jonathan
Intramolecular energy transfer driven by near-field effects plays an important role in applications ranging from biophysics and chemistry to nano-optics and quantum communications. Advances in strong light-matter coupling in molecular systems have op
Externí odkaz:
http://arxiv.org/abs/2411.00503
Being able to study the dynamics of quantum systems interacting with several environments is important in many settings ranging from quantum chemistry to quantum thermodynamics, through out-of-equilibrium systems. For such problems tensor network-bas
Externí odkaz:
http://arxiv.org/abs/2409.04145
Autor:
Lovett, Nate, Bhatt, Harish
Coupled nonlinear Schr\"odinger equations model various physical phenomena, such as wave propagation in nonlinear optics, multi-component Bose-Einstein condensates, and shallow water waves. Despite their extensive applications, analytical solutions o
Externí odkaz:
http://arxiv.org/abs/2407.18514
We derive the transition rates, dephasing rates, and Lamb shifts for a system consisting of many molecules collectively coupled to a resonant cavity mode. Using a variational polaron master equation, we show that strong vibrational interactions inher
Externí odkaz:
http://arxiv.org/abs/2407.16484
Autor:
Fux, Gerald E., Fowler-Wright, Piper, Beckles, Joel, Butler, Eoin P., Eastham, Paul R., Gribben, Dominic, Keeling, Jonathan, Kilda, Dainius, Kirton, Peter, Lawrence, Ewen D. C., Lovett, Brendon W., O'Neill, Eoin, Strathearn, Aidan, de Wit, Roosmarijn
Non-Markovian dynamics arising from the strong coupling of a system to a structured environment is essential in many applications of quantum mechanics and emerging technologies. Deriving an accurate description of general quantum dynamics including m
Externí odkaz:
http://arxiv.org/abs/2406.16650
Autor:
Lovett, Sean, Zgubic, Miha, Liguori, Sofia, Madjiheurem, Sephora, Tomlinson, Hamish, Elster, Sophie, Apps, Chris, Witherspoon, Sims, Piloto, Luis
Solving the AC optimal power flow problem (AC-OPF) is critical to the efficient and safe planning and operation of power grids. Small efficiency improvements in this domain have the potential to lead to billions of dollars of cost savings, and signif
Externí odkaz:
http://arxiv.org/abs/2406.07234
The algorithm "automated compression of environments" (ACE) [Nat. Phys. 18, 662 (2022)] provides a versatile way of simulating an extremely broad class of open quantum systems. This is achieved by encapsulating the influence of the environment, which
Externí odkaz:
http://arxiv.org/abs/2405.16548
Motivated by applications to matrix multiplication algorithms, Pratt asked (ITCS'24) how large a subset of $[n] \times [n]$ could be without containing a skew-corner: three points $(x,y), (x,y+h),(x+h,y')$ with $h \ne 0$. We prove any skew corner-fre
Externí odkaz:
http://arxiv.org/abs/2404.07380
Autor:
Piloto, Luis, Liguori, Sofia, Madjiheurem, Sephora, Zgubic, Miha, Lovett, Sean, Tomlinson, Hamish, Elster, Sophie, Apps, Chris, Witherspoon, Sims
Optimal Power Flow (OPF) refers to a wide range of related optimization problems with the goal of operating power systems efficiently and securely. In the simplest setting, OPF determines how much power to generate in order to minimize costs while me
Externí odkaz:
http://arxiv.org/abs/2403.17660