Most existing distributed systems use logical clocks to order events in the implementation of various consistency models. Although logical clocks are straightforward to implement and maintain, they may affect the scalability, availability, and latency of the system when being used to totally order events in strong consistency models. They can also incur considerable overhead when being used to track and check the causal relationships among events in some weak consistency models. In this thesis we explore how to efficiently implement different consistency models using loosely synchronized physical clocks. Compared with logical clocks, physical clocks move forward at approximately the same speed and can be loosely synchronized with well-known standard protocols. Hence a group of physical clocks located at different servers can be used to order events in a distributed system at very low cost. We first describe Clock-SI, a fully distributed implementation of snapshot isolation for partitioned data stores. It uses the local physical clock at each partition to assign snapshot and commit timestamps to transactions. By avoiding a centralized service for timestamp management, Clock-SI improves the throughput, latency, and availability of the system. We then introduce Clock-RSM, which is a low-latency state machine replication protocol that provides linearizability. It totally orders state machine commands by assigning them physical timestamps obtained from the local replica. By eliminating the message step for command ordering in existing solutions, Clock-RSM reduces the latency of consistent geo-replication across multiple data centers. Finally, we present Orbe, which provides an efficient and scalable implementation of causal consistency for both partitioned and replicated data stores. Orbe builds an explicit total order, consistent with causality, among all operations using physical timestamps. It reduces the number of dependencies that have to be carried in update replication messages and checked on installation of replicated updates. As a result, Orbe improves the throughput of the system.