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Work Package 2: Quantum speed limits in many-body systems
More, as was famously noted, is different. When dealing with quantum many-body systems this statement becomes particularly insightful as we can see the emergence of criticality, where despite a well defined microscopic description, non-trivial and singular behaviours can be exhibited. The use of one-dimensional spin systems as archetypal registers for quantum processing devices means developing a clear understanding of criticality is of utmost importance and equally developing effective techniques to control these systems is paramount. The discovery by Lieb and Robinson showing that communication along nearest neighbour interacting spin systems is bounded by an effective “space-time cone”, somewhat in analogy to the causal light cone, has led to profound developments in the understanding and simulation of complex many-body quantum systems. Interestingly, the quantum speed limit also has been shown to be fundamental in revealing the dynamical features, such as the critical slowing down, when transitioning a critical point in the same systems and recent advances have indicated the dominant role the quantum speed limit plays when attempting to realise precisely these dynamics. Objective and impact: The main goal of WP2 is to use these two fundamental bounds to develop effective control methods requiring the minimal resources. We will analyse the tools necessary to control critical systems, offering a clear framework for their experimental feasibility. WP2 is thus endowed with broad fundamental and practical relevance. Regarding the former, it will deepen the understanding of criticality and unite two fundamental principles in quantum physics. While for the latter, it will establish the minimal experimental resources necessary to simulate these most remarkable systems. |
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Publications
- Discrete and generalized phase space techniques in critical quantum spin chains
Zakaria Mzaouali, Steve Campbell, and Morad El Baz
Phys. Lett. A 383, 125932 (2019) - Energetic cost of quantum control protocols
Obinna Abah, Ricardo Puebla, Anthony Kiely, Gabriele De Chiara, Mauro Paternostro, and Steve Campbell
New J. Phys. 21, 103048 (2019) - Orthogonality catastrophe as a consequence of the quantum speed limit
Thomás Fogarty, Sebastian Deffner, Thomas Busch, and Steve Campbell
Phys. Rev. Lett. 124, 110601 (2020) - Kibble-Zurek scaling in quantum speed limits for shortcuts to adiabaticity
Ricardo Puebla, Sebastian Deffner, and Steve Campbell
Phys. Rev. Research 2, 032020(R) (2020) - Fast and robust magnon transport in a spin chain
Anthony Kiely and Steve Campbell
New J. Phys. 23, 033033 (2021) - Work statistics and symmetry breaking in an excited state quantum phase transition
Zakaria Mzaouali, Ricardo Puebla, John Goold, Morad El Baz, and Steve Campbell
Phys. Rev. E 103, 032145 (2021) - Periodically refreshed baths to simulate open quantum many-body dynamics
Archak Purkayastha, Giacomo Guarnieri, Steve Campbell, Javier Prior, and John Goold
Phys. Rev. B 104, 045417 (2021) - Counterdiabatic control in the impulse regime
Eoin Carolan, Anthony Kiely, and Steve Campbell
Phys. Rev. A 105, 012605 (2022) - Periodically refreshed quantum thermal machines
Archak Purkayastha, Giacomo Guarnieri, Steve Campbell, Javier Prior, and John Goold
Quantum 6, 801 (2022) - Minimal action control method in quantum critical models
Ainur Kazhybekova, Steve Campbell, and Anthony Kiely
J. Phys. Commun. 6, 113001 (2022) - Optimal Control in Disordered Quantum Systems
Luuk Coopmans, Steve Campbell, Gabriele De Chiara, and Anthony Kiely
Phys. Rev. Research 4, 043138 (2022) - Non-Gaussian work statistics at finite time driving
Krissia Zawadzki, Anthony Kiely, Gabriel T. Landi, and Steve Campbell
Phys. Rev. A 107, 012209 (2023) - Entropy of the quantum work distribution
Anthony Kiely, Eoin O'Connor, Thomás Fogarty, Gabriel T. Landi, and Steve Campbell
Phys. Rev. Research 5, L022010 (2023)
