Redrawing the boundaries: new approaches to many-body open quantum systems

Lead Research Organisation: University of Manchester
Department Name: Physics and Astronomy

Abstract

I propose a new perspective and approach to understanding the interactions and interplay between quantum systems and their surrounding environments. By redrawing the boundary between what we term the system and what we term the environment, I shall provide a unified framework that will permit a breakthrough in the analysis of larger and more complex systems than presently possible. This will result in important new insights into both fundamental and applied physics across numerous settings.

The behaviour of nanoscale systems comprising up to several thousand atoms is dominated by quantum physics, which can lead to surprisingly strong collective features. As an analogy, consider the cooperative behaviour of a crowd at a sports ground who sing in unison, allowing songs to be discerned despite the many voices. Likewise, in nanoscale systems quantum correlations can be shared across numerous constituent atoms, enabling them to behave as single entities in many situations. One of the most dynamic and exciting areas of scientific research over the past decade has been the quest to understand, control, and exploit these correlations for technological applications. Further progress in the field - which could lead to the next technological revolution - requires the development of an unprecedented level of understanding of the intricate quantum nature of matter. This is a formidable challenge, but also a central reason to engage in this fascinating area of research.

A primary obstacle to exploiting quantum features of nanoscale systems arises due to the fact that no physical system can ever be completely isolated from the influence of its surroundings. The forces exerted by this large, fluctuating, and uncontrolled environment give rise to unwanted random variations in the system's properties, known as noise. Returning to our analogy, this is akin to each crowd member randomly singing a song with no regard to the songs of others, with the result (which would literally be noise!) that a listener would perceive no underlying structure.

In the quantum realm noisy processes are particularly harmful. As well as obscuring the information we learn as we probe a system, interactions with the environment can destroy the very nature of the quantum state itself. From a quantum technology point of view, noise thus seems to render our system to be completely useless.

This is the conventional view, at least. However, one of the exciting aims of my research programme is to give a viable alternative perspective on the role of noise in quantum processes. Imagine a crowd in which groups are singing different songs. Depending on how these groups form, compete, and evolve we may still perceive some structure beneath the din. In fact, by developing a new and unified understanding of the interactions between quantum systems and their environments I shall show that noisy processes can actually be harnessed to drive systems into exotic, robust, and useful quantum states.

Indeed, a series of groundbreaking experiments have suggested that interplay between quantum effects and noise may unexpectedly exist in the natural light-harvesting networks of bacteria, algae, and plants. These systems are thus currently the subject of intense exploration and debate, motivated by the remarkable possibility that quantum physics may play an important role in the basic processes of life. Moreover, by understanding whether this helps natural systems to achieve robust and efficient solar-energy conversion, I aim to develop new design principles for quantum technologies that draw on solar light as a clean, sustainable, and efficient energy source.

By tackling a core issue in quantum physics and a primary obstacle to exploiting quantum processes in the laboratory, my research will impact across a broad range of fields and technologies, paving the way to future applications of far-reaching social and economic importance as well.

Planned Impact

This programme will develop new theoretical methods to understand the behaviour of many-body quantum systems subject to strong environmental influences. This understanding will be used to devise schemes that - even under such seemingly adverse conditions - can robustly prepare and manipulate quantum systems by harnessing, rather than mitigating, the resulting processes.

A number of areas will significantly benefit from this research, including:

Quantum technology - All quantum systems are open, meaning that they evolve not in isolation but under the influences of their surroundings. The study of open quantum systems is thus vital in understanding how to prepare and control quantum states, as well as being key to interpreting experimental measurements. The promised technological applications of quantum information science rely on environmental influences and the resulting loss of quantum coherence being well understood, and in many cases strongly suppressed. Furthermore, the mechanisms by which quantum systems lose coherence to their surroundings can become more complex and subtle as they are scaled up beyond small numbers of qubits. By focussing on many-body open quantum systems, my research programme addresses precisely these issues, and as such should be of major benefit to the recently-established National Network of Quantum Technology Hubs, their industrial partners, and the extensive global community of quantum technology researchers that exists both within and outside academia.

Solar energy conversion - The experimental generation and observation of dynamically evolving coherences in natural photosynthetic complexes has initiated a recent resurgence in the study of quantum effects in biological systems. The question of whether these effects play a role in the natural function of such systems remains open, as do the potential implications for solar energy conversion devices (which would have both significant societal and economic impact). Further progress requires accurate and flexible dynamical modelling of pigment-protein complexes under both laboratory and natural conditions, with the insights gained applied to the design of novel next generation solar cells, leading to impact across both communities.

Thermodynamics - Open quantum systems theory provides a natural framework in which to explore the thermodynamics of quantum systems, and the advances I propose will allow strong couplings and system-environment correlation effects to be incorporated within a unified approach. Furthermore, the thermodynamics of systems at the quantum scale is of direct relevance to existing nanoscale devices, and will also be a crucial consideration in the development of future quantum and solar energy conversion technologies. The continuing miniaturisation of components is now leading to a situation where accounting for quantum fluctuation effects is becoming increasingly important, with timely applications, for example, to the magnetic data storage industry.

Chemical physics - System-environment models are of fundamental importance in studying the charge and energy transfer dynamics of systems such as biomolecular aggregates and molecular junctions. Strong coupling between electronic and, for example, vibrational degrees of freedom routinely leads to the breakdown of weak-coupling approaches, while standard methods to go beyond such treatments often rely on semiclassical approximations valid only in restricted parameter regimes. The impact of the unified methods I propose to develop will be in bridging this gap.

An important aspect of this Fellowship programme is to encourage public awareness and understanding of cutting-edge quantum science, and support for further investment in both fundamental and applied research. Here, the impact will be on local communities within the North West, the wider public within the UK, and also abroad. The project will also deliver high-level and varied skills training to the PDRA.
 
Description A wide variety of important results were produced and published as a direct consequence of the work undertaken during the Fellowship, and are now influencing research directions in several fields. These include:

(i) Developing the reaction-coordinate theory for studying thermodynamics at strong heat-bath coupling. This led to the first study of the performance of a discrete-stroke quantum heat engine cycle at strong heat-bath coupling in both the infinite time and finite time (non-equilibrium) regimes. The resulting performance characteristics have strong implications for the realisation of heat engines at the quantum scale. More generally, the reaction-coordinate approach has now become one of the most widespread methods for studying the thermodynamics of quantum systems beyond vanishingly weak heat-reservoir coupling.

(ii) Extending the reaction-coordinate theory to multiple environments that act non-additively, i.e. not as a simple sum of each acting as they would in isolation. This is particularly important for accurately describing molecular and solid-state nanosystems that often interact with multiple environments simultaneously. The theory has subsequently been applied to unveil novel non-additive effects in quantum transport and electron counting statistics, quantum thermoelectrics, and molecular and solid-state quantum optics.

(iii) Developing the polaron theory of solid-state photon emitters to account for the influence of the phonon sideband on the emitted photon characteristics. This theory was then applied to predict a detrimental sideband contribution to the indistinguishability of photons emitted from quantum dot single photon sources that is non-vanishing even for weak excitation, where it had previously been assumed that the dominance of coherent scattering would lead to highly-indistinguishable photons.

(iv) This prediction was subsequently verified in collaboration with an experimental team, demonstrating that even with high Purcell enhancement, phonon coupling leads to a sideband that is completely insensitive to excitation conditions. A nonmonotonic relationship between laser detuning and the coherent fraction was also demonstrated, both of which are major deviations from atomlike behavior.

(v) The polaron formalism was applied to assess the performance of semiconductor quantum dots embedded in waveguides and coupled to optical cavities, demonstrating that phonon scattering inhibits simultaneous near-unity efficiency and indistinguishability in semiconductor single-photon sources. This is a vitally important consideration for future optical quantum technologies based on solid-state photon sources. Furthermore, the theory was applied to demonstrate that phonons can also be beneficial, whereby vibrational environments can be used to enhance quadrature squeezing and phase sensitivity in resonance fluorescence from solid-state optical emitters.

(vi) In collaboration with an experimental team, observation of the transformation of photon statistics between antibunched, bunched, or Poissonian due to spectral filtering. These results verified that strong antibunching and a subnatural linewidth cannot simultaneously be observed in such systems, again an important consideration for future quantum technology applications.

(vii) Developed a new variational coherent state formalism to probe the nature of quantum critical wavefunctions in dissipative quantum impurity problems. This provided important insights into the microscopics of critical many-body states in quantum impurity models.

(viii) Developed an arbitrary gauge approach for the description of cavity quantum electrodynamical systems, where the choice of gauge is left open rather than chosen from the outset. This revealed the importance of gauge ambiguities within the theoretical description of quantum electrodynamical systems, whereby light and matter as quantum subsystems are defined in terms of different physical degrees of freedom in different gauges. Although the theory remains formally gauge-invariant, approximations such as material-level truncations or the assumption of time-dependent light-matter interactions can lead to diverging predictions from different gauge choices. These findings are particularly important in ultrastrong-coupling regimes of light-matter physics, as explored experimentally, for example, in superconducting circuits.

(ix) The arbitrary gauge approach was also applied to resolve a long-standing paradox in light-matter physics, namely apparently conflicting no-go and counter no-go theorems for supperadiance in many-dipole cavity quantum electrodynamical systems. The theory reveals that a unique phase transition does occur in archetypal many-dipole cavity quantum electrodynamical systems, and that it manifests unambiguously via a macroscopic gauge-invariant polarisation. As the gauge choice controls the extent to which this polarisation is included as part of the radiative quantum subsystem, it determines the degree to which the abnormal phase is classed as superradiant.
Exploitation Route The outcomes are primarily theoretical, and so in a non-academic context will be most usefully taken forward in collaboration with experimental and computational teams that work more closely with sectors outside academia. Here, the insights into limitations and possibilities of molecular and solid-state nanosystems for quantum technologies, for example heat engines, refrigerators, and single-photons sources, are promising avenues for further exploration. Regarding academic routes, the theoretical developments in the description of open quantum systems at strong system-environment coupling that formed a large part of the project are now in widespread use throughout the wider academic community.
Sectors Agriculture, Food and Drink,Other

 
Description Embracing gauge-freedom in ultrastrong-coupling quantum electrodynamics
Amount £192,953 (GBP)
Funding ID EP/V048562/1 
Organisation Engineering and Physical Sciences Research Council (EPSRC) 
Sector Public
Country United Kingdom
Start 01/2021 
End 07/2022
 
Description Funding to support the Quantum Undergraduate Day workshop
Amount £1,500 (GBP)
Organisation Institute of Physics (IOP) 
Sector Learned Society
Country United Kingdom
Start 01/2020 
End 01/2020
 
Description Joint Research Groups in the UK
Amount £1,600 (GBP)
Organisation London Mathematical Society 
Sector Academic/University
Country United Kingdom
Start 11/2017 
End 10/2018
 
Description Joint Research Groups in the UK
Amount £2,000 (GBP)
Organisation London Mathematical Society 
Sector Academic/University
Country United Kingdom
Start 01/2019 
End 12/2019
 
Description Launch grant
Amount £600 (GBP)
Organisation N8 Research Partnership 
Sector Learned Society
Country United Kingdom
Start 07/2017 
End 07/2017
 
Description In Abstract article In Abstract article on Nature Phtonics paper 
Form Of Engagement Activity A magazine, newsletter or online publication
Part Of Official Scheme? No
Geographic Reach International
Primary Audience Public/other audiences
Results and Impact In Abstract article on my Nature Phtonics paper "Phonon scattering inhibits simultaneous near-unity efficiency and indistinguishability in semiconductor single-photon sources".
Year(s) Of Engagement Activity 2017
URL http://www.mub.eps.manchester.ac.uk/in-abstract/phonon-scattering-in-semiconductor-single-photon-sou...
 
Description Press release on "Vibrational enhancement of quadrature squeezing and phase sensitivity in resonance fluorescence" 
Form Of Engagement Activity A press release, press conference or response to a media enquiry/interview
Part Of Official Scheme? No
Geographic Reach International
Primary Audience Media (as a channel to the public)
Results and Impact Press release on my Nature Communications paper "Vibrational enhancement of quadrature squeezing and phase sensitivity in resonance fluorescence".
Year(s) Of Engagement Activity 2019
 
Description Press release on quantum engines 
Form Of Engagement Activity A press release, press conference or response to a media enquiry/interview
Part Of Official Scheme? No
Geographic Reach International
Primary Audience Media (as a channel to the public)
Results and Impact Press release on my paper "Performance of a quantum heat engine at strong reservoir coupling", picked up by three popular news outlets, 2017.
Year(s) Of Engagement Activity 2017
URL http://www.manchester.ac.uk/discover/news/miniaturised-heat-engines-could-power-nanoscale-machines-o...