The preparation of a continuous-variable system in a non-Gaussian quantum state is of paramount importance in various aspects of quantum science. This ranges from fundamental tests of quantum mechanics, through the design of quantum sensors, to quantum information processing. The generation of non-Gaussian states requires a nonlinear resource, often introduced through coupling to an auxiliary degree of freedom, e.g., a two-level system. On the other hand, some continuous-variable systems already possess intrinsic nonharmonicity in the potential of a canonical variable. I study how this intrinsic nonlinearity suffices to implement quantum protocols among different platforms.
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P. T. Grochowski, H. Pichler, C. A. Regal, O. Romero-Isart
Quantum control of continuous systems via nonharmonic potential modulation
Quantum 9, 1824 (2025)
Levitated high-mass quantum systems provide access to unprecedented regimes in both fundamental science and technological applications. However, the generation and manipulation of quantum non-Gaussian states, required to exploit the quantum advantage of such platforms fully, remain elusive. In my research, I propose how to achieve this control with trapping potential engineering.
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M. Roda-Llordes, A. Riera-Campeny, D. Candoli, P. T. Grochowski, O. Romero-Isart
Macroscopic quantum superpositions via dynamics in a wide double-well potential
Phys. Rev. Lett. 132, 023601 (2024)
Quantum metrology enables sensitivity to approach the limits set by fundamental physical laws. Even a single continuous mode offers enhanced precision, with the improvement scaling with its occupation number. Due to their high information capacity, continuous modes allow for the engineering of quantum non-Gaussian states, which not only improve metrological performance but can also be tailored to specific experimental platforms and conditions. Recent advancements in control over continuous platforms operating in the quantum regime have renewed interest in sensing weak forces, also coupling to massive macroscopic objects. Within my research, I investigate force-sensing schemes where a physical process completely randomizes the direction of the induced phase-space displacement.
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P. T. Grochowski, R. Filip
Optimal Phase-Insensitive Force Sensing with Non-Gaussian States
Phys. Rev. Lett. 135, 230802 (2025)
Ultracold quantum gases provide a versatile platform for exploring many-body physics in highly controllable settings. Within this research direction, I co-developed a theoretical framework describing the dynamics of binary ultracold repulsive trapped quantum gases. Based on a hydrodynamic approach, the model incorporates experimentally relevant corrections and remains flexible with respect to trap geometries and atomic species. It enables the determination of ground states and provides insight into both static and dynamical phase transitions.
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P. T. Grochowski, T. Karpiuk, M. Brewczyk, K. Rzążewski
Breathing Mode of a Bose-Einstein Condensate Immersed in a Fermi Sea
Phys. Rev. Lett. 125, 103401 (2020)
Relativistic quantum physics explores how quantum information and localized quantum states transform under acceleration and gravity, revealing that fundamental concepts such as particles, entanglement, and even time become observer-dependent. Within my studies, I investigate two complementary directions of this interplay between quantum theory and relativity. First, I analyze how relativistic acceleration modifies localized quantum states and their entanglement structure, showing how acceleration-induced noise and mode mismatch influence observable correlations and quantum-information protocols. Second, I study quantum time dilation, demonstrating that when a clock, modeled as a decaying two-level atom, moves in a coherent superposition of momenta or positions, its spontaneous emission rate and spectral lines differ from those of a classical mixture, providing experimentally accessible signatures of genuinely quantum relativistic effects.
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P. T. Grochowski, A. R. H. Smith, A. Dragan, K. Dębski
Quantum time dilation in atomic spectra
Phys. Rev. Res. 3, 023053 (2021)
High-temperature superconductors and quantum phase transitions are technology building blocks to address standing problems from energy storage and transport to quantum sensing and optical quantum computing. Yet, the detection of different quantum states of the material and our understanding of the underlying physics are incomplete. To this end, we developed a theoretical framework to describe high-harmonic light emission from the strongly correlated electron motion across the superconducting-to-pseudogap-to-normal quantum phase transitions. This framework models high harmonic generation in superconducting materials and transient, light-induced superconductivity. We successfully applied it to model an experiment, which performed high-harmonic spectroscopy across these phase transitions, providing insight into dynamic quantum behaviors in high-𝑇c superconductors.
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J. Alcalà, U. Bhattacharya, J. Biegert, M. Ciappina, U. Elu, T. Graß, P. T. Grochowski, M. Lewenstein, A. Palau, T. P. H. Sidiropoulos, T. Steinle, I. Tyulnev
High harmonic spectroscopy of quantum phase transitions in a high-Tc superconductor
Proc. Natl. Acad. Sci. U.S.A. 119, e2207766119 (2022)