Abstract:Entangled states are beneficial for quantum metrology, but difficult to prepare and maintain. To tackle this issue, we here propose a quantum metrology scheme in a cavity QED setup to achieve the Heisenberg limit without preparing entangled states. In our scheme, a series of identical two-level atoms randomly pass through and interact with the cavity mode. We show that the initial atomic coherence will induce an effective driving to the cavity field, whose steady state is an incoherent superposition of orthogo… Show more
“…The rich ensuing dynamics in turn open up possibilities to use these systems to simulate fundamental solid-state physical systems and explore non-equilibrium many-body phenomena beyond the scope of conventional condensed matter systems [3]. Moreover, due to the presence of non-classical correlations and the feasibility of non-destructive monitoring of these systems through photons leaking from the cavity mirrors, they serve as an ideal platform for precise measurements of unknown physical parameters beyond the standard quantum limit [4][5][6][7][8][9][10][11][12]. Therefore, quantum-gas cavity QED systems may lead to the development of new paradigms in quantum metrology.…”
We present a quantum metrology protocol which relies on quenching a light-matter system exhibiting a superradiant quantum phase transition beyond its critical point. In the thermodynamic limit these systems can exhibit an exponential divergence of the quantum Fisher information in time, whose origin is the exponential growth of the number of correlated photons on an arbitrarily fast time scale determined by the coupling strength. This provides an exponential speed-up in the growth of the quantum Fisher information over existing critical quantum metrology protocols observing power law behaviour. We demonstrate that the Cramér-Rao bound can be saturated in our protocol through the standard homodyne detection scheme. We explicitly show its advantage in the archetypal setting of the Dicke model and explore a quantum gas coupled to a single-mode cavity field as a potential platform. In this case an additional exponential enhancement of the quantum Fisher information can in practice be observed with the number of atoms N in the cavity, despite existing works suggesting a requirement of N -body coupling terms.
“…The rich ensuing dynamics in turn open up possibilities to use these systems to simulate fundamental solid-state physical systems and explore non-equilibrium many-body phenomena beyond the scope of conventional condensed matter systems [3]. Moreover, due to the presence of non-classical correlations and the feasibility of non-destructive monitoring of these systems through photons leaking from the cavity mirrors, they serve as an ideal platform for precise measurements of unknown physical parameters beyond the standard quantum limit [4][5][6][7][8][9][10][11][12]. Therefore, quantum-gas cavity QED systems may lead to the development of new paradigms in quantum metrology.…”
We present a quantum metrology protocol which relies on quenching a light-matter system exhibiting a superradiant quantum phase transition beyond its critical point. In the thermodynamic limit these systems can exhibit an exponential divergence of the quantum Fisher information in time, whose origin is the exponential growth of the number of correlated photons on an arbitrarily fast time scale determined by the coupling strength. This provides an exponential speed-up in the growth of the quantum Fisher information over existing critical quantum metrology protocols observing power law behaviour. We demonstrate that the Cramér-Rao bound can be saturated in our protocol through the standard homodyne detection scheme. We explicitly show its advantage in the archetypal setting of the Dicke model and explore a quantum gas coupled to a single-mode cavity field as a potential platform. In this case an additional exponential enhancement of the quantum Fisher information can in practice be observed with the number of atoms N in the cavity, despite existing works suggesting a requirement of N -body coupling terms.
“…The rich ensuing dynamics in turn open up possibilities to use these systems to simulate fundamental solid-state physical systems and explore non-equilibrium many-body phenomena beyond the scope of conventional condensed matter systems [3]. Moreover, due to the presence of non-classical correlations and the feasibility of non-destructive monitoring of these systems through photons leaking from the cavity mirrors, they serve as an ideal platform for precise measurements of unknown physical parameters beyond the standard quantum limit [4][5][6][7][8][9][10][11][12]. Therefore, quantum-gas cavity quantum electrodynamics systems may lead to the development of new paradigms in quantum metrology.…”
We carefully examine critical metrology and present an improved critical quantum metrology protocol which relies on quenching a system exhibiting a superradiant quantum phase transition beyond its critical point. We show that this approach can lead to an exponential increase of the quantum Fisher information in time with respect to existing critical quantum metrology protocols relying on quenching close to the critical point and observing power law behaviour. We demonstrate that the Cramér-Rao bound can be saturated in our protocol through the standard homodyne detection scheme. We explicitly show its advantage using the archetypal setting of the Dicke model and explore a quantum gas coupled to a single-mode cavity field as a potential platform. In this case an additional exponential enhancement of the quantum Fisher information can in practice be observed with the number of atoms N in the cavity, even in the absence of N-body coupling terms.
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