Macroscopic quantum tunneling
Besides condensed matter theory, Leggett was also interested in the conceptual foundations of quantum physics. He devoted much of his research to the question of macroscopic quantum behavior: whether objects familiar to us on human scales can be made to display the behaviors of molecules, atoms and particles described by quantum theory. He used his condensed matter background to propose an experiment that would reveal exactly such behaviors.
In a 1978 paper, Leggett suggested that superconductors are strong candidates for realizing macroscopic quantum behavior, specifically quantum tunneling, wherein an object overcomes an apparently insurmountable energy barrier. The phenomenon is central to radioactive decay and semiconductor device design. It is also the basis for experimental superconducting quantum interference devices, or SQUIDs, in which superconducting electrons tunnel through a barrier.
Leggett reasoned that because SQUIDs operate at very low temperatures and experience very low electrical resistance, the electrons must interact very weakly with the surrounding environment. Since environmental noise and dissipation are what usually destroy quantum properties, it should be possible for all the superconducting electrons in a SQUID to cohere together and tunnel as a single large-scale quantum entity.
The main difficulty was working out how small, but non-negligible dissipation impacts macroscopic tunneling behavior. In 1981, Leggett and his graduate student Amir Caldeira published a theory for how a macroscopic quantum entity tunnels when dissipation is present.
The Caldeira-Leggett theory, as it came to be known, was subsequently verified in the 1984-1985 experiments of John Clarke, Michel Devoret and John Martinis. The three demonstrated that a real SQUID device could enter a macroscopic quantum state, in which all electrons behave as a single quantum unit, and tunnel into new states inaccessible by non-quantum means. The 2025 Nobel Prize in physics was awarded for this experiment, but the Nobel committee explicitly acknowledged Leggett’s contributions in predicting and developing a theory for the behavior.
When quantum computing research began in the 1990s, Leggett’s theoretical work indicated that superconducting devices were very strong candidates for quantum processing units, or qubits. Today, many academic researchers, in addition to companies such as Google, IBM and Rigetti, are actively developing quantum computers with superconducting qubits thanks to Leggett’s work.
Quantum foundations
Leggett’s work on macroscopic quantum tunneling was just one part of his longstanding drive to push quantum physics to its limits.
Quantum theory, although effective at explaining the microscopic world of molecules, atoms and particles, makes claims that appear to contradict the understanding of reality we derive from our macroscopic experiences. Since its introduction, questions have been raised about the extent to which quantum theory is a literal description of reality or should be understood as only a useful tool for calculations. Working scientists were long urged to set aside such broad questions, which today are known as the discipline of quantum foundations, and focus on what could be experimentally tested.
Leggett became interested in quantum foundations in the late 1960s, when it was still regarded as a fringe field. He leveraged his condensed matter background to look for ways to probe quantum reality. Initially, he believed that the strange data found for superfluid helium-3 indicated that quantum theory had failed. Although his final model was based on standard quantum theory, he continued to push the theory’s limits with his investigation of macroscopic quantum tunneling.
In 1985, Leggett and his graduate student Anupam Garg published a mathematical criterion for probing the quantum phenomenon of superposition. One of quantum theory’s seemingly strangest predictions, the idea of superposition is that physical objects can exist in multiple states at the same time until they are measured. The criterion is a mathematical inequality wherein measurements of a system that exists in exactly one state at time must produce a numerical value below a certain threshold.
The Leggett-Garg inequality, as it is now known, has been shown to be violated in systems ranging from superconductors to neutrinos, meaning that the measured value exceeds the threshold for possibly existing in a single state at a time. The conclusion is that superposition is real and objects do in fact occupy multiple states at once, affirming that quantum physics accurately describes the true nature of the systems it models.